Cones, Cylinders, & Spheres Unit Test

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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 answer

To find the volume of a cylinder, we can use the formula:

V = πr²h

Where V is the volume, r is the radius of the base, and h is the height.

In this case, the radius (r) is given as 8 millimeters and the height (h) is given as 13 millimeters.

So, substituting these values into the formula, we get:

V = π(8²)(13)

V = π(64)(13)

V = 832π

To round to the nearest hundredth, we can estimate the value of π as 3.14.

V ≈ 832(3.14)

V ≈ 2609.28

Therefore, the volume of the cylinder is approximately 2609.28 cubic millimeters.