Find the volume of the hemisphere whose surface area is 50 sq inches ........

Quantitative Aptitude ( CCS) Mensuration 3D

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Find the volume of the hemisphere whose surface area is 50 sq. inches.

36.96 cm³

42.37 cm³

46.96 cm³

none of these

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Explanation:

SA = 50 sq. inches
Surface area of the hemisphere = 2πr²
50 = 2πr²
R2 = 50/2π (π = 3.14) = 7.96
r = 2.82
Radius of the hemisphere is 2.82 inches
Volume of a hemisphere =2 πr^3/3 cubic units
= 2/3 x 3.14 x (2.82)³
= 2/3 x 3.14 x 22.43
= 2/3 x 70.43
= 46.96
The volume of the hemisphere is 46.96 cm³