Question

The radius of a sphere is increased by 10%. prove that the volume will be increased by 33.1% approximately.

Answer 1

if the original radius is r then the volumes sphereV is 4/3 *22/7 r*r*r
so the vvariable is only r...if we make ant change in the value of r then the volume will be changed
if r increased by 10 % then the value of r will be r*11/10 so the volume will be increased by
11*11*11/10*10*10=1331/1000 there fore the increased volume is 1331/1000 V there fore the increases volume is 33.10% more than the original one