2 Answers

Guirgis · Answer 1 · 2020-10-13T07:46:12+0000

Answer:

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

Zijun · Answer 2 · 2020-10-15T19:06:33+0000

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:

$12.02 \ in$

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