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Question

The volume of a sphere is 4851 cm3. How much should its radius be reduced so that its volume become 43123 cm3?

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Solution

We have

Volume of Sphere = 4851 cm3


We know that, the volume of Sphere

= 43πR3

So,

43πR3 = 4851

R3= 3×485×74×22

R= 31157.625

R= 10.5 cm.


Now, for volume of the sphere =43123cm3

43πr3=43123

πr3=43124

r3= 1078×722

r= 3343

r =7


Now, Change in radius

Rr= 10.57=3.5 cm


Hence, this is the answer.


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