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The radius of a sphere is …

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The radius of a sphere is increased by 10 percent.Find the increase in volume.
  • 1 answers

Yogita Ingle 4 years, 8 months ago

Let radius of sphere is 100 unit

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

volume of sphere=4/3 π(100)3
=4/3 π1000000 cubic unit

a/c radius increased by 10%

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

hence volume of new sphere=4/3 π(110)3=4/3 π1331000cubic unit

difference their volume=4/3 π331000cubic unit

percentage increase=volume difference/volume of sphere
=(4/3 π331000/4/3 π.1000000)x100
=33.1%

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