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What is the volume, in cubic feet, of a cone that has a base area of π / 4 square feet and a height of 3 feet?

A94π

Bπ

C34π

D14π

Verified Answer :

\(The\ volume\ of\ a\ cone:V=\frac{1}{3}B\cdot H\\\\B=\frac{\pi}{4}ft;\ H=3ft\\\\therefore\\\\V=\frac{1}{3}\cdot\frac{\pi}{4}\cdot3=\boxed{\frac{\pi}{4}\ (ft^2)=\frac{1}{4}\pi\ (ft^2)}\)

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