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Question
Find the volume of a solid hemisphere whose total surface area is 462 sq.m.
Solution
Given, total surface area of solid hemisphere = 462 cm2
⇒ 3πr2 = 462
⇒ r2 = `(462 xx 7)/(3 xx 22)`
⇒ r2 = 49
⇒ r = 7
Now, volume of hemisphere = `2/3 πr^3`
= `2/3 xx 22/7 xx (7)^3`
= `(2 xx 22 xx 7 xx 7)/3`
= 718.67 cm3
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