What is the volume of the toy top pictured below?

What Is The Volume Of The Toy Top Pictured Below?

Answers

Answer 1

Answer:

The volume of the top toy is 67.1175 cubic feet

Step-by-step explanation:

The toy top is a composite figure of a cylinder and an hemisphere, the volume of the figure is therefore, the sum of the volume of the cylinder and the hemisphere

The dimensions of the cylinder are;

The height of the cylinder = 6 feet

The diameter of the cylinder, [tex]D_{cylinder}[/tex] = 1.5 feet

Therefore, the radius of the cylinder, [tex]r_{cylinder}[/tex]= 1/2 × [tex]D_{cylinder}[/tex] = 1/2 × 1.5 ft. = 0.75 ft.

The volume of the cylinder = Area of the base × Height =  π × [tex]r_{cylinder}^2[/tex] × (The height of the cylinder)

Where;

π = 3.14

∴ The volume of the cylinder = 3.14 × (0.75 ft.)² × 6 ft.= 10.5975 ft.³

The dimensions of the hemisphere are;

The diameter of the hemisphere, [tex]D_{hemispher}[/tex] = 6 feet

Therefore, the radius of the hemisphere, [tex]r_{hemisphere}[/tex]= 1/2 × [tex]D_{hemispher}[/tex]  = 1/2 × 6 ft. = 3 ft.

The volume of the hemisphere = 2/3×π×[tex]r_{hemisphere}^3[/tex]

∴ The volume of the hemisphere = 2/3 × 3.14 × (3 ft.)³ = 56.52 ft.³the

The volume of the top toy = The volume of the cylinder + The volume of the hemisphere

∴ The volume of the top toy = 10.5975 ft.³ + 56.52 ft.³ = 67.1175 ft.³.


Related Questions

2 numbers are in ratio 2 is to 4 if their sun is 147 then what i the largest number?

Answers

Answer:

The larger number is 98

Step-by-step explanation:

Let the numbers be a and b

a/b= 2/4

4a = 2b ------- 1

a + b = 147 -----2

a= 147 - b -------3

Substitute equation 3 into 1

4(147 -b) = 2b

588 - 4b = 2b

588= 2b + 4b

588 = 6b

b= 588/6

b= 98

Substituting b= 98 into 1

4a = 2(98)

4a = 196

a= 49

The larger number is 98

5. Which expression is equivalent to x2 - 17 x - 60?

Answers

15x-60
this is the answer

The two tables below show the amount of tip, y, included on a bill charging x dollars.
Restaurant A
х
10
20
30
5
Restaurant B
х
25
50
75
y
1
2.
3
✓x
10
15
Which compares the slopes of the lines created by the tables?
O The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
O The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than sie slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

Answers

Answer:it’s B I did the test

Step-by-step explanation:

The quantity 32 minus 16 multiplied by 9:
what does quanitity mean

Answers

Answer:

32-16=16

16×9=144

Step-by-step explanation:

quantity: the amount of smth

Hope it helps, have a great day!

The quantity resulting from the expression "32 minus 16 multiplied by 9" is -112.

In the given context, "quantity" refers to a specific numerical value or amount. It represents a numerical value that can be measured, counted, or expressed in terms of units. In this case, the quantity is being used to describe the result of a mathematical operation.

In general, when we refer to a quantity, we are focusing on the numerical value itself, irrespective of the units or context. It provides a way to quantify or express a particular amount or value in a given situation.

In the expression "32 minus 16 multiplied by 9," the quantity refers to the value obtained from performing the mathematical operation. To evaluate this expression, we follow the order of operations, which dictates that multiplication should be performed before subtraction:

32 - 16 x 9

Multiplying 16 by 9 gives us 144, and subtracting that from 32 yields the quantity:

32 - 144 = -112

Therefore, the quantity resulting from the expression "32 minus 16 multiplied by 9" is -112.

To learn more about the PEMDAS;

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What is the solution to 31-3x + 9) = -18?
Ox=-5
O x=5 or x= 1
O x= -5 or x=1
O no solution
Hurry please

Answers

Step-by-step explanation:

31-3x+9=-18

31-3x+9+18=0

58-3x=0

-3x=-58

x=-58/-3

x=19.33

so the answer is no solution

not sure about the answer

who can help answer some of these?

Answers

1. 14
2. 23
3. 8
4. 27
5. 22.6 ( rounded )
6. 47
7. 97

PLS HELP IM SO STUCK

if daisy mixes 50ml of oragne juice to 200ml. what is the ration of orange juice to water

Answers

Answer:

1 : 4

Step-by-step explanation:

The ratio of

orange : water

= 50 : 200 ( divide both parts by 50 )

= 1 : 4

how do i know if a slope is negative​

Answers

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

hope this helps! happy new year!

Answer:

A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

Step-by-step explanation:

Hope this helps (づ。 ◕‿‿◕。) づ

Luv ya

How to write (4t)^5 without exponents?

Answers

Answer:

4t x 4t x 4t x 4t x 4t

Step-by-step explanation:

We have that for the Question "How to write (4t)^5 without exponents?" it can be said that to write (4t)^5 without exponents we have

(4t)^5 =1024 * t*t*t*t*t

From the question we are told

How to write (4t)^5 without exponents?

Generally the expression for (4t)^5   is mathematically given as

(4t)^5

Therefore

(4t)^5 =4^5 *t^5

(4t)^5 =1024 * t*t*t*t*t

Therefore

to write (4t)^5 without exponents we have

(4t)^5 =1024 * t*t*t*t*t

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Divide and simplify
ax + ay + bx + by/
x+y

Answers

Answer:

a + b

Step-by-step explanation:

ax + ay + bx + by

a(x +y) +b(x + y)

(a + b) ( x + y)

therefore (a + b) ( x + y) divide x+y

x + y is canceled out both in the denominator and numerator

= a+b

Answer:

a + b

Step-by-step explanation:

bigail
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 195 grams of a
radioactive isotope, how much will be left after 5 half-lives?
Use the calculator provided and round your answer to the nearest gram.
grams

Answers

Answer:

divide 195 by 2 , 5 times. Or 195 × 0.5^5

The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.

Answers

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

What is an equation of the line that passes through the point (-2, -6) and is
parallel to the line x + 2y = 8?

Answers

Answer:

The equation of new line is: [tex]\mathbf{y=-\frac{1}{2}x-7}[/tex]

Step-by-step explanation:

We need to write an equation of the line that passes through the point (-2, -6) and is  parallel to the line x + 2y = 8

We need to find slope m and y-intercept b for the new line.

First we need to find slope m of the new line.

The given line x+2y=8 is parallel to new line.

When lines are parallel, there slope is same.

First writing equation in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

[tex]x+2y=8\\2y=-x+8\\y=-\frac{1}{2}x+\frac{8}{2}\\ y=-\frac{1}{2}x+4[/tex]

Now comparing with [tex]y=mx+b[/tex] the slope is : [tex]m=-\frac{1}{2}[/tex]

Now finding y-intercept b

Using point (-2,-6) and slope [tex]m=-\frac{1}{2}[/tex] we can find y-intercept

[tex]y=mx+b\\-6=-\frac{1}{2}(-2)+b\\-6=1+b\\b=-6-1\\b=-7[/tex]

So, we get y-intercept b = -7

Now the equation of required line having slope [tex]m=-\frac{1}{2}[/tex] and y-intercept b = -7 is:

[tex]y=mx+b\\y=-\frac{1}{2}x-7[/tex]

So, the equation of new line is: [tex]\mathbf{y=-\frac{1}{2}x-7}[/tex]

By what number should you multiply the 1st equation to cancel the x's using the elimination method?
- 3x – 2y = 2
9x + 3y = 24

The answers are
6
-9
-3
3
Please help ion know wich one and I don’t want to fail the final week

Answers

Answer:

-3

Step-by-step explanation:

Which of the following is written in a scientific way?

Answers

The correct answer is b

Answer:

Both B and C, but I am not sure about just one answer.

Step-by-step explanation:

Solve for x:
4(1 – x) + 2 x = -3( x + 1)

Answers

Answer:

4(1 – x) + 2 x = -3( x + 1)

first do 4 time 1= 4

then do 4 times x =4x

now the equation should look like this

4-4x+2x=-3(x+1)

then do the other side of the equation

-3(x+1)

=-3x-3

Now collect the like terms:

-4x-2x

now the equation should look like this

4-2x=-3x-3

now add 3x add on both sides

4-2x+3x=-3

put the 4 on the other side

-2x+3x=-3-4

now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)

x=-7

answer

x=-7

Answer:

  [tex]x=-7[/tex]                    PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

[tex]4(1-x)+2x=-3(x+1)[/tex]

Distribute 4 through the parentheses

[tex]4-4x+2x=-3(x+1)[/tex]

Distribute -3 through the parentheses

[tex]4-4x+2x=-3x-3[/tex]

Collect like terms

[tex]-4x+2x[/tex]

Collect like terms by calculating the sum or difference of their coefficient

[tex](-4+2)x[/tex]

Calculate the sum

[tex]-2x[/tex]

[tex]4-2x=-3x-3[/tex]

Move variable to the left hand side and change its sign

[tex]4-2x+3x=-3[/tex]

Why move an expression to the right?

We want to move an expression to the right to write the equation in a specific way.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality

Step 1

Example

take the equation:

[tex]x+a=b[/tex]

We want the expression a to be on the right hand side of the equation.

Step 1

example(cont)

To move the expression to the right -hand side, use the addition property , and add -a to both sides of the equation:

[tex]x+a+(-a)=b+(-a)[/tex]

Simplify the left hand side and remove the parentheses on the right hand side:

[tex]x+a+(-a)=b+(-a)\\x=b-a[/tex]

Now the expression a is on the right hand side :

[tex]x=b-a[/tex]

Step 2:

Notice! when comparing  the beginning and the ending equation, it seems like we just moved the expression to the right hand side and changed its sign:

[tex]x+a=b\\x=b-a[/tex]

This is a shorter way to use the same property.

Now came back to the original equation

[tex]4-2x+3x=-3[/tex]

Move constant to to the right hand side and change its sign

[tex]-2x+3x=-3-4[/tex]

collect like terms

[tex]x=-3-4[/tex]

calculate the difference

[tex]x=-7[/tex]

Why move a constant to the right?

We want to move a constant to the right because the mathematicians agreed upon a convention that the constants in the equation and inequalities always need to be on the right-hand side.

The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality.

Step 1

example

Take the equation:

[tex]x+3=5[/tex]

We want the constant 3to be on the right hand side of the equation.

Step 1

example (cont)

To move the constant to the right-hand side, use the addition property, and add -3 to both sides of the equation:

[tex]x+3+(-3)=5+(-3)[/tex]

Simplify the left-hand side and remove the parentheses on the right - hand side:

[tex]x+3+(-3)=5+(-3)\\x=5- 3[/tex]

Now , all the constants are on the right- hand side:

[tex]x=5-3[/tex]

Step 2

Notice! when comparing the beginning and the ending equation, it seems like we just moved the constants to the right hand side and change its sign:

[tex]x+3=5\\x=5-3[/tex]

This is a shorter way to use the same property.

PLEASE MARK ME AS BRAINLIEST

dam bought 6 deli sandwiches for
$5.75 each. About how much will the
sandwiches cost?

Answers

You actually just need to multiply :)
6 x $5.65 = $33.9

did anyone know that 11+11 is the same thing as 10+10
because 11+11=22

Answers

:0 my brians hurt

Also That’s cool but did you know lliberty mutual customizes your carinsurance topay for what you need

Solve for x Please help me out

Answers

Answer:

A.

Step-by-step explanation:

18 x 5 = 90 + 5 = 95

19 x 5 =95

18x + 5 = 19x

(alternate exterior angles)

5 = 19x - 18x

5 = x

Taylor has $4 worth of dimes and quarters. She has 2 more quarters than
dimes. Graphically solve a system of equations in order to determine the
number of dimes, x, and the number of quarters, y, that Taylor has.

Answers

Answer: Taylor has 10 dimes and 12 quarters.

Step-by-step explanation: you should end up with the equation y = x + 2 which is where it explains that he had two more quarters than dimes.

Then, your other equation starts with .10x +0.25y = 4 “, but then simplified, which should give u y = -2/5x +16. Once you graph both the top and this equation, they should intersect at the 4, which leads back to your money amount of 4 dollars.

What is the solution set of {x | x 5}?

1. the empty set
2. all real numbers
3. the numbers between -5 and 5
4. all numbers less than -5 and greater than 5

Answers

Answer:

3. the numbers between -5 and 5

Step-by-step explanation:

Let set A= [tex]\{x| x>-5\}[/tex] and set [tex]B=\{x | x<5\}[/tex].

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.

please help. thank you

Answers

Answer:

ur welcome

Step-by-step explanation:

3.000 * (1+0,065)^3 = 3.000 * 1,065^3 = 3.000 * 1,208 = 3.623, 86

Answer is A

write 0.414141414141 as a fraction?

Answers

Answer:

The fraction is 41/99.

Step-by-step explanation:

The steps are :

[tex]let \: x \: be \: fraction,[/tex]

[tex]x = 0.414141.....[/tex]

[tex]100x = 41.414141.....[/tex]

[tex]100x - x = 41.414141..... \: - \: 0.414141.....[/tex]

[tex]99x = 41[/tex]

[tex]x = \frac{41}{99} [/tex]

~I need the method~
If the side length of any equilateral triangle is increase by 7% then the area will be change in which percent? How do we do this type of maths?​

Answers

Answer:

Look at the attachment

The bottom equation states that:

Triangle Area = side^2 * (sqr root 3) / 4 or

Triangle Area = side^2 * .4330127..

So, we'll say the side originally equaled 1 and the new length is 7% longer ot it equals 1 + .07 or 1.07

Looking at the formula:

Triangle Area = 1.07^2 * .4330127...

the .4330127 doesn't change but the side increases to 1.07

and the change in area is 1.07^2 or 1.1449 times larger.

So, the area is 14.49% larger.

Step-by-step explanation:

How do you do this? Please give an example to #1 and explain thoroughly please. I have asked multiple times and gotten answers I do not understand! 20 pts. Pleaseee help

Answers

Answer:

y=2x

Step-by-step explanation:

y = kx is the format of the graph we are looking for (as told in the instructions) where k is the variable we are supposed to find (like y = x, y=2x, y=3x, etc)

Note that as x increases by 1, y increases by 2. We can see that by writing a table of the points of points that the line given intersects (picture below). We can see that by the values of the x-axis and the y-axis. Why does this happen? This is because y =2x for each value of x. We notice that in our table.

Therefore, the equation is y=2x. I hope this helps! If you still have questions, ask me in the comments!

Georgina knows the inequality is true, but she cannot remember what number is in the denominator.

A-5
B-8
C-10
D-12

Answers

i think your answer would be D-12

Give the equation of a line that is perpendicular to
f(x)= 3x+1 and goes through the point (0, -6).

Answers

Answer: -1/3x - 6

Step-by-step explanation: perpendicular lines have opposite reciprocal slopes

original slope of 3 —-> -1/3

then our point is (0, -6) let’s plug that into y=-1/3x+b

-6 = -1/3(0)+b

b= -6

put it all together: y = -1/3x -6

Evaluate m – n if m = –16 and n = 28

Answers

Answer:-44

Step-by-step explanation:

-16-(28)=-44

Answer:

-44

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

m - n

m = -16

n = 28

Step 2: Evaluate

Substitute:                    -16 - 28Subtract:                       -44

Please help I will mark branliest

Answers

Answer:

[tex]B.2w+2l[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that,\\Perimeter\ of\ any\ rectangle=w+l+w+l\\By\ adding\ the\ like\ terms\ together\ in\ the\ expression\ w+l+w+l,\\we\ get:\\(w+w)+(l+l)\\=2w+2l[/tex]

Carl's cats weigh a total of 12 kg (kilograms). Bo weighs 5 1/2kg. Tommy weighs 2 1/3 kg. How much does Suzi weigh?

Answers

Answer:

5 1/6 kilograms is the answer I think

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