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

12.02 inches

Step-by-step 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

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

Where:

h: It is the height of the cylinder

A: It is the radius of the cylinder

According to the data we have:

Substituting we have:

Taking

We choose the positive value:

Thus, the radius of the cylinder is

the least common denominator is 40