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A cone has a base area of 78.5 cm² and height 12 cm. What is its volume? (Use \(\pi \approx 3.14\))

1. 314 cm³
2. 392 cm³
3. 471 cm³
4. 628 cm³

Correct answer: 314 cm³

Solution

The volume of a cone is \(V=\frac{1}{3}Ah\), where \(A\) is the base area and \(h\) is the height. Substituting \(A=78.5\) cm² and \(h=12\) cm gives \(V=\frac{1}{3}\times 78.5\times 12=314\) cm³.

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