The volume v = (4/3)π r^3 of a spherical balloon changes with the radius. a. at what rate (ft^3/ft) does the volume change with respect to the radius when r = 2 ft? b. by approximately how much does the volume increase when the radius changes from 2 to 2.2 ft?

a)

b)

Step-by-step explanation:

We are given the following information in the question:

Volume of sphere =

a) We have to find the rate at which the volume change with respect to the radius when r = 2 ft.

Differentiating, we get,

Putting r = 2

b) Approximate change in volume when radius changes from 2 to 2.2 feet

Putting the values, we get:

a

step-by-step explanation:

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