A cylinder has a volume of 885 cubic feet. If the height of the cylinder is 11.7 feet, what is the radius of the cylinder un 3.14 for π and round to the nearest hundredth.

3 answers

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. We are given the volume and height, so we can substitute those values to solve for the radius:

885 = πr^2(11.7)

Divide both sides by (π × 11.7):

885 / (π × 11.7) = r^2

Simplify:

r^2 = 21.97

Take the square root of both sides:

r ≈ 4.69

Therefore, the radius of the cylinder is approximately 4.69 feet when rounded to the nearest hundredth.
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