A) \( \Large \frac{4312}{3} cm^{3} \) |
B) \( \Large \frac{4102}{3} cm^{3} \) |
C) \( \Large 1257 cm^{3} \) |
D) \( \Large 1023 cm^{3} \) |
A) \( \Large \frac{4312}{3} cm^{3} \) |
Curved surface area of the sphere = \( \Large 4 \pi r^{2} \)
=> 616 = \( \Large4 \pi r^{2} \)
=> \( \Large \pi r^{2} = \frac{616}{4} = 154 \)
=> \( \Large r^{2} = \frac{154 \times 7}{22} = 49 \)
Therefore, r = \( \Large \sqrt{49} = 7 cm \)
Therefore, Volume of the sphere = \( \Large \frac{4}{3} \pi r^{3} \)
=\( \Large \frac{4}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \)
= \( \Large \frac{4312}{3} cm^{3} \)