A balloon is composed of a right circular cone joined at its base to a hemisphere. The diameter of the base is equal to the height of the cone. If the balloon is inflated, at what rate is the volume, V, changing with respect to the height, h.
Volume=1/3 area base * height
= 1/3 PI* (h/2)^2 * h
check that. now do dV/dh
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