Question

Find the volume of a right circular cone that has a height of 14.7 in and a base with a radius of 2.9 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

V≈ 129.5 in

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Answer 2

The volume of the cone is 129.4 in³

Explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume

r = radius = 2.9 in

h = height = 14.7 in

π = 3.14

v = 1/3 * π * r² * h

we replace with the known values

v = 1/3 * 3.14 * (2.9in)² * 14.7in

v = 1/3 * 3.14 * 8.41in² * 14.7in

v = 129.396 in³

Round to the nearest tenth

v = 129.396 in³ = 129.4 in³

The volume of the cone is 129.4 in³