SOLUTION: Please help me with this problem: A right circular cone is inscribed inside a hemisphere so that its base is the same as the hemisphere. If the radius of the hemisphere is increas

Question 1032561: Please help me with this problem:
A right circular cone is inscribed inside a hemisphere so that its base is the same as the hemisphere. If the radius of the hemisphere is increasing at a rate of 1 cm/sec, find the rate at which the total volume of the cone is increasing when the radius of the base is 4cm
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A right circular cone is inscribed inside a hemisphere so that its base is the same as the hemisphere. If the radius of the hemisphere is increasing at a rate of 1 cm/sec, find the rate at which the total volume of the cone is increasing when the radius of the base is 4cm
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The height of the cone = radius.
--> Vol = pi*r^2*r/3 = pi*r^3/3
dV/dt = pi*r^2*dr/dt
At r = 4, dV/dt = 16pi cc/sec

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