Question

Surface area of a sphere is 616 sqcm. Calculate the volume

• A. 1477.33 cm3
• B. 1437.33 cm3
• C. 1473.33 cm3
• D. 1437.03 cm3

Answer 1

Answer: (B)

1437.33 cm3

Answer 2

Given:
The surface area of the sphere = 616 cm²
Formula Used: Surface area of sphere = 4 × \pi$$r^2
Volume of sphere = $\frac{4}{3}$×\pi$$r^3
Calculation:
Surface area of sphere = 4 × \pi$$r^2
⇒616 = 4 x ($\frac{22}{7}$) x $r^2$
⇒ $r^2$ = 616 × $\frac{7}{88}$
⇒ $r^2$ = 7 x 7
⇒ r = 7
Volume of sphere = ($\frac{4}{3}$) × \pi$$r^3
($\frac{4}{3}$) x ($\frac{22}{7}$) × (7)3

⇒1437.33 cm3
So the correct option is (B):1437.33 cm3