Question

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

Answer 1

Answer:

1.B. 5,699.1 in3

2.C. Area of Base x Height

3.D. 250 cm3

Step-by-step 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:

$r=\frac{D}{2}$

$r=\frac{22}{2}$

$r=11}$

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.