The largest possible right circular cone is cut out of a cube of edge 14 cm. What is the volume of the cone? Take \(\pi = \frac{22}{7}\).
A. \(718\frac{2}{3}\) cm³
B. 2156 cm³
C. 616 cm³
D. 1078 cm³
A. \(718\frac{2}{3}\) cm³
B. 2156 cm³
C. 616 cm³
D. 1078 cm³
Best answer
Answer: A. \(718\frac{2}{3}\) cm³
Answer: (A) \(718\frac{2}{3}\) cm³
The largest cone has radius = 7 cm (half the edge) and height = 14 cm.
V = \(\frac{1}{3} \times \frac{22}{7} \times 49 \times 14 = \frac{2156}{3}\) = \(718\frac{2}{3}\) cm³.
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