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A cone has a height of 6.4 inches and a diameter of 6 inches. What is the volume, in cubic inches, of the cone?

2 Answers

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The volume is 60.319 cubic inches

User Kel Solaar
by
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7 votes

Answer:
60.34\ \text{ cubic inches}

Explanation:

The volume of a cone is given by :-


V=(1)/(3)\pi r^2 h , where r is radius and h is height of the cone.

Given : Height of cone : h= 6.4 inches

Diameter : d= 6 inches

i.e.
r=(d)/(2)=(6)/(2)=3 inches

Then, volume of cone will be :-


V=(1)/(3)((22)/(7)) (3)^2 (6.4)\ \ [\because \pi=(22)/(7)]=60.3428571429\approx60.34\ \text{ inches}^3

Hence, the volume of cone =
60.34\ \text{ cubic inches}

User Michel Alonso
by
8.4k points

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