Question

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

Answer 1

let radius of sphere is 100 unit

now volume of sphere =4/3pi.(r)^3

volume of sphere=4/3pi.(100)^3
=4/3pi.1000000 cubic unit

a/c radius increased by 10%

so , new radius =100+100x10/100=110unit

hence volume of new sphere=4/3pi(110)^3=4/3pi.1331000cubic unit

difference their volume=4/3pi.331000cubic unit

percentage increase=volume difference/volume of sphere
=(4/3pi.331000/4/3pi.1000000)x100
=33.1%

Answer 2

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