The radius of a sphere is increased 10 percentage prove that it's volume will be increased by 33.19 approx
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If a radius is increased by 10%,then
net volumetrical increase =33.21%.
Let the radius of sphere be 100unit.
Volume=4/3π(100×100×100)..cube unit.
New radius =110 unit.
New volume=4/3π(110×110×110) unit cube
Net vol. Increase
=4/3π(110×110×110 -100×100×100)=4/3π(331) cube unit.
=>%inreases =[(4/3π331000)/(4/3π1000000) ×100]%
=(331000/1000000×100)%=33.1%
net volumetrical increase =33.21%.
Let the radius of sphere be 100unit.
Volume=4/3π(100×100×100)..cube unit.
New radius =110 unit.
New volume=4/3π(110×110×110) unit cube
Net vol. Increase
=4/3π(110×110×110 -100×100×100)=4/3π(331) cube unit.
=>%inreases =[(4/3π331000)/(4/3π1000000) ×100]%
=(331000/1000000×100)%=33.1%
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