The total surface area of a solid hemisphere is 16632 cm². Its volume is: (Take π = 22/7)

Question

Question

This question was previously asked in

SSC CHSL 2021 (Held On : 26 May 2022 Shift 1)

Answer 1

Given:

TSA of Hemisphere = 16632 cm²

Formula used:

Volume of solid hemisphere = \(\frac{2}{3}\pi r^3\)

Calculation:-

It is given that the total surface area of the hemisphere is 16632 cm2

Total surface area = 3 π r2

⇒ 3 × π × r2 = 16632

⇒ r2 = 5544/π

⇒ r2 = 1764

⇒ r = 42 cm

Volume = \(\frac{2}{3}\pi r^3\)

V = \(\frac{2}{3}\times \frac{22}{7} \times r^3\)

⇒ \(\frac{2}{3}\times \frac{22}{7} \times 42^3\)

On solving,

V = 155232 cm³

∴ The volume of the solid hemisphere is 155232 cm³.