Question: A spherical balloon is being deflated. The radius is decreasing at the rate of 1.7 cm/sec. How fast is the volume decreasing when r=19 cm.

A spherical balloon is being deflated. The radius is decreasing at the rate of 1.7 cm/sec.

  1. How fast is the volume decreasing when r=19 cm. Note that the volume of a sphere is V=4/3(pi)r^3 where r is the radius of the sphere.
  2. How fast is the surface area decreasing when r=19 cm. Note that the surface area of a sphere is A=4(pi)r^2 where r is the radius of the sphere.

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