Question

Find the radius of the cylinder. Round your answer to the nearest tenth.

Height: 4.25 mm

Volume: \(564^{3}\)mm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the radius of the cylinder, we need to use the formula for the volume of a cylinder:

Volume = πr^2h

Given that the volume is \(564^{3}\)mm and the height is 4.25 mm, we can substitute these values into the formula:

\(564^{3} = πr^2 * 4.25\)

Solving for r^2, we get:

r^2 = \(\frac{564^{3}}{4.25π}\)
r^2 = \(\frac{14403744}{4.25π}\)
r^2 ≈ 1068702.6

Taking the square root of r^2, we get the radius:

r ≈ √1068702.6
r ≈ 1033.1 mm

So, the radius of the cylinder is approximately 1033.1 mm.