Question

if the radius of a sphere is increased by 25% then what will be the increase in its volume​

Answer 1

explanation:let the sphere radius is=r

volume=4πr^3/3

When the radius is increased by25% The new radius is r+25*r/100=25r

new volume is 4π(25)^3/3

The new volume is 4π(25)^3/75/3=25(4πr³/3)

the %increase in volume =(25(4πr³/3)-4πr³/3)*100/(4πr³/3)=104.6%

The volume will increase by 104.8%

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