Question

Curved surface area of a hemisphere is 905 1/7cm3 , what is its volume?

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Answer 1

QUESTION :-

Curved surface area of a hemisphere is 905 1/7cm3 , what is its volume?

SOLUTION :-

Given,

⇒Curved Surface Area of the Hemisphere = 905 (1/7)

⇒Curved Surface Area of the Hemisphere = 6336/7 Cm2

⇒C.S.A. of the Hemisphere = 2π r²

⇒6336/7 = 2π r²

⇒ r² = 6336/7 × 7/22

⇒ r² = 288

⇒ r = √288

⇒ r = 16.97 cm

⇒Volume of the Hemisphere = 4/3 π r²

⇒ 4/3 × 22/7 × 288 × √288

⇒ 20481.045 cm³.

The volume of the Hemisphere is 20481.045 cm³.