Question

1 ) Find the volume of a cylinder with diameter 22 in and height 15 in.

A. 22,796.4 in3
B. 5,699.1 in3
C. 1,796.08 in2
D. 330 in3
2 ) How do you find the volume of a prism or cylinder?
A. ½ x Area of Base x Height
B. (2 x Area of Base) + (Perimeter x Height)
C. Area of Base x Height
D. πd2 x h

3 ) Find the volume of a prism with a square base that is 5 cm by 5 cm and is 10 cm tall.
A. 2500 cm3
B. 300 cm2
C. 100 cm3
D. 250 cm3

Answer 1

1.B. 5,699.1 in3

2.C. Area of Base x Height

3.D. 250 cm3

Explanation:

To calculate the volume of a cylinder you have the next formula:

`V=(\pi )(r^(2) )(H)`

Since you are given the diameter you have to first calculate the radius:

`r=(D)/(2)`

`r=(22)/(2)`

`r=11}`

Now that you have the radius you can put the values inside the cylinder formula for the volume:

`V=(\pi )(11^(2) )(15)`

`V=(3.14)(121)(15)`

`V=5,699.1`

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The formula for any prism or cylinder is mutiplying the area of the base by the height, which would be like this:

`V=(AB)(H)`

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To calculate the area of a prism with a square base you just have to use the formula for the prism:

`V=(AB)(H)`

No the area of the base would be:

`AB=(S)(S)`

Since it is a square, so the area of the base is:

`AB=(S)(S)=(5)(5)=25`

Now that you have the are of the base, you just multiply it by the height:

`V=(AB)(H)`

`V=(25)(10)`

`V=250`

Answer 2

1. The volume of the cylinder is calculated through the equation, V = πr²h. Substituting the known values,
V = π(22 in/2)²(15 in) = 1815π in³ = 5701.99 in²
2. The answer to this item is letter "C. area of the base x height".
3. The volume of the prism is 5 x 5 x 10 cm or equal to 250 cm³.