A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take π = 22/7)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3√3 : 4
TSA of sphere = TSA of hemisphere
4πx2 = 3πy2
x/y = √3/2
Volume of sphere = (4/3 πx3)/(2/3 πy3) = 2(x/y)3 = 2(√3/2)3 = 3√3/4
Required ratio = 3√3 : 4