Question

28)Find the percentage increase in the volume of a sphere if it's radius is
increased by 10%.

​

Answer 1

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Maths

Surface Areas and Volumes

Surface Area of Spheres

If the radius of the sphere...

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If the radius of the sphere is increased by 10% prove that its volume will be increased by 33.1% is

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ANSWER

Let radius of sphere=r

Volume=

3

4

πr

3

Radius is increased by 10 %=r+

100

10

r

=r+

10

r

=

10

11r

Volume =

3

4

π×

1000

11

3

r

3

Increased volume %=

3

4

πr

3

(

1000

1331

−1)

3

4

πr

3

×100

=

1000

331

×100=33.1%

∴Volume increased by 33.1%

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