Question

Use the image to answer the question.
A 3 D cylinder shows a base radius of 8 millimeters and perpendicular height of 13 millimeters. A right angle is formed at the center of the base.

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

(1 point)
cubic millimeters

1 answer

To find the volume of the cylinder, we can use the formula: V = πr^2h, where r is the radius of the base and h is the height.

Given that the base radius is 8 millimeters and the height is 13 millimeters, we can substitute these values into the formula:

V = π(8^2)(13)
= π(64)(13)
= 832π

To round the answer to the nearest hundredth, we can approximate π as 3.14 and calculate the final answer:

V ≈ 832(3.14)
≈ 2608.48

Therefore, the volume of the cylinder is approximately 2608.48 cubic millimeters.