Question

The volume of a sphere is 4851 cm³. How much should its radius be reduced so that it volume becomes 4312 cm³?​

Answer 1

Answer:

We have

Volume of Sphere = 4851 cm

3

We know that, the volume of Sphere

=

3

4

πR

3

So,

3

4

πR

3

= 4851

R

3

=

4×22

3×485×7

R=

3

1157.625

R= 10.5 cm.

Now, for volume of the sphere =

3

4312

cm

3

3

4

πr

3

=

3

4312

πr

3

=

4

4312

r

3

= 1078×

22

7

r=

3

343

r =7

Now, Change in radius

R−r= 10.5−7=3.5 cm

Hence, this is the answer.