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cone has a radius of 8 inches and a height of 12 inches.

What is the exact volume of the cone?

A.
32π in3

B.
96π in3

C.
256π in3

D.
768π in3

Sagot :

[tex]The\ volume\ of\ the\ cone:V=\frac{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=\frac{1}{\not3_1}\cdot\frac{\not12^4}{1}\cdot64\pi=4\cdot64\pi=\boxed{256\pi\ (in^3)}\\\\Answer:\boxed{C}[/tex]
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Answer:

c

Step-by-step explanation:

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