The volume of a cone of radius r and height h is given by v=1/3πr2h. If the radius and height are both increasing at a constant rate of 1/2 centimeter per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters.

The volume of a cone of radius r and height h is given by v=1/3πr2h.

1.	The volume of a cone of radius r and height h is given by v=1/3πr2h. If the radius and height are both increasing at a constant rate of 1/2 centimeter per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters.
Answer» The volume of a cone of radius r and height h is given by v = 1/3πr²h. If the radius and height are both increasing at a constant rate of 1/2 centimeter per second, at what rate, in cubic centimeters per second, is the volume increasing when the height is 9 centimeters and the radius is 6 centimeters. Solution: