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CBSE Class 9 Answered

If a sphere and a hemisphere have the same surface area, find the ratio of their radii if r1 is the radius of the sphere and r2 is the radius of the hemisphere. 

Asked by dhanya_mk2000 | 21 Jan, 2020, 08:32: PM
Expert Answer
r1 is the radius of sphere
r2 is the radius of hemisphere
Surface space area space of space sphere space equals space 4 πr subscript 1 squared
Surface space area space of space hemisphere space equals space 3 πr subscript 2 squared
It space is space given space that space their space surface space areas space are space equal
rightwards double arrow space 4 πr subscript 1 squared equals 3 πr subscript 2 squared
rightwards double arrow space straight r subscript 1 squared over straight r subscript 2 squared equals 3 over 4
rightwards double arrow straight r subscript 1 over straight r subscript 2 equals fraction numerator square root of 3 over denominator 2 end fraction
Answered by Renu Varma | 22 Jan, 2020, 10:19: AM
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