Question

The volume of a cylinder is 9080 in.³ the same height of the cylinder is 20 inches what is the radius of the cylinder express your answer in the nearest hundredth

Answer 1

12.02 inches

Explanation:

recall, volume of a cylinder is given by

V = πr²h

where r is the radius of the cylinder and h = the height

hence

9080 = π x r² x 20

r² = 9080 ÷ 20π = 144.513

r = √144.513 = 12.02 inches

Answer 2

For this case we have that by definition, the volume of a cylinder is given by:

`V = \pi * r ^ 2 * h`

Where:

h: It is the height of the cylinder

A: It is the radius of the cylinder

According to the data we have:

`V = 9080 \ in ^ 3\\h = 20 \ in`

Substituting we have:

`9080 = \pi * r ^ 2 * 20`

Taking
`\pi = 3.14`

`9080 = 62.80r ^ 2\\r ^ 2 = 144.59\\r = \pm \sqrt {144.59}`

We choose the positive value:

`r = \sqrt {144.59}\\r = 12.02`

Thus, the radius of the cylinder is
`r = 12.02 \ in`

Answer:

`12.02 \ in`