The ratio of the radius of Hemisphere A to Hemisphere B is 2 : 1.If the curved surface area of Hemisphere A is equal to the volume of Hemisphere B, find the radius of Hemisphere B.
Show answer & explanation
Correct answer: A
Explanation
Let, the radius of hemisphere B = r
So as in question, radius of hemisphere A = 2r
Curved surface area of hemisphere A = 2π(2r)2 = 8πr2
Volume of hemisphere B = (2/3)πr3
As per the question,
8πr2 = (2/3)πr3
8 = 2r/3
24 = 2r
r = 12