Question

the largest sphere is carved out of acube of side 7 cm .find volume

Answer 1

$diameter \: of \: sphere = 7cm \\ r = \frac{7}{2} cm \\ volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times \frac{7}{2} \\ = \frac{11 \times 7 \times 7}{3} \\ = \frac{539}{3} \\ = 179 \frac{2}{3} {cm}^{3}$