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.
Find the radius of the cylinder. Round your answer to the nearest tenth.
Height: 4.25 mm
Volume: \(564^{3}\)mm
1 answer