Question

Find the rate of change of volume of a sphere with respect to its radius? Calculate the change in volume

of the sphere if its radius is increased from 25 mm to 25.5 mm.​

Answer 1

Answer:

here is your answer

Volume =

3

4

πr

3

Surface area = 4πr

2

V=

3

4

πr

3

dr

dv

=

3

4

×3πr

2

=4πr

2

also s=4πr

2

dr

ds

=8πr

Now

dx

dv

=

dr

ds

dr

dv

=

8πr

4πr

2

=

2

r

dx

dv

r=2

=

2

2

=1

Explanation:

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