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A cone has a radius of 8 inches and a height of 12 inches.What is the exact volume of the cone?

User Yin
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2 Answers

4 votes

Volume =
256\pi in ^(3)

Work is attached in the image provided.

A cone has a radius of 8 inches and a height of 12 inches.What is the exact volume-example-1
User Frezq
by
8.2k points
4 votes

The\ volume\ of\ the\ cone:V=(1)/(3)\pi r^2H\\\\where\\r-radius\\H-height\\----------------\\\\r=8\ in\ and\ H=12\ in\\\\therefore\\\\V=\frac{1}3{\pi\cdot8^2\cdot12=(1)/(\\ot3_1)\cdot(\\ot12^4)/(1)\cdot64\pi=4\cdot64\pi=\boxed{256\pi\ (in^3)}
User Deja
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8.0k points

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