The surface area of a sphere is $\frac{792}{7} cm^2$ . Find, correct to the nearest whole number, its volume. [Take $\pi = \frac{22}{7}$ ]

113 $cm^3$

131 $cm^3$

311 $cm^3$

414 $cm^3$

Correct answer is A

Surface area of a sphere = $4 \pi r^2$ $4 \pi r^2$ = $\frac{792}{7}cm^2$ 4 x $\frac{22}{7}$ x $r^2$ = $\frac{792}{7}$ $r^2$ = $\frac{792}{7}$ x $\frac{7}{4 \times 22}$ = 9 r = $\sqrt{9}$ = 3cm Hence, volume of sphere = $\frac{4}{3} \pi r^3$ = $\frac{4}{3} \times \frac{22}{7} \times 3 \times 3 \times 3$ = $\frac{4 \times 22 \times 9}{7}$ $\approx$ = 113.143 = 113 $cm^3$ (to the nearest whole number)

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