Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time. When the height is 5 in. and is increasing at 0.2 in./s, the radius is 3 in. and is decreasing at 0.1 in./s. How fast is the volume changing at that instant? Is the volume increasing or decreasing at that instant?

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The Answer of Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time. When the height is 5 in. and is increasing at 0.2 in./s, the radius is 3 in. and is decreasing at 0.1 in./s. How fast is the volume changing at that instant? Is the volume increasing or decreasing at that instant?

Let V Be the Volume of a Cylinder Having Height