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.
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.