Question: A giant spherical balloon has a tiny hole through which air is escaping at a constant rate of 0.1 m3 /minute. (a) Find the rate

A giant spherical balloon has a tiny hole through which air is escaping at a constant rate of 0.1 m3 /minute.

(a) Find the rate at which the radius of the sphere is decreasing when the radius is 0.5m. (b) Find the rate at which the surface area of the balloon is decreasing when the radius is 0.5m. (Note

that the surface area of a sphere of radius r is 4r2.)

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