Hosea S.

asked • 06/13/21

The volume of an expanding sphere is increasing at a rate of 12 𝑓𝑡3 𝑠 ⁄ .

The volume of an expanding sphere is increasing at a rate of 12 𝑓𝑡3/s . When the volume of the sphere is

36𝜋 𝑓𝑡3 , how fast in 𝑓𝑡2/s is the surface area increasing?

Hint: 𝑉 = 4/3 (𝜋𝑟 3) and 𝑆 = 4𝜋𝑟 2

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