Question

the radius of a sphere is increased by 10%. Prove that the volume will be increased by 33.1%.(approximately)

Answer 1

if r=x then volume =$4/3 \pi x^{3}$
if r=x+10%x then
   r= 1.1x then volume =$4/3 \pi 1.1x*1.1x*1.1x$
therefore volume will be increased by 33.1%