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Find the volume of a right circular cone that has a height of 16 in and a base with a

circumference of 4.5 in. Round your answer to the nearest tenth of a cubic inch.

User Shredder
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2 Answers

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The volume of the cone is approximately 8.2 inches cubed
User Matt Bryant
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The volume of the right circular cone is approximately 8. 59 cubic inches.

How to find the volume ?

The circumference of a circle is given by the formula:

Circumference (C) = 2 x π x r

You are given that the base has a circumference of 4.5 inches. So, you can set up the equation to find the radius (r):

4.5 = 2 x π x r

r = 4.5 / (2 x π)

r = 0.7165 inches

The values for h and r, you can calculate the volume of the cone:

V = (1/3) x π x (0.7165 ²) x 16

Calculate the volume:

V = (1/3) x 3.14159 x (0.5128) x 16

V = 8. 59 cubic inches

User Mark Tozzi
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