The volume of a right-circular cylinder of radius r and height h is . Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 2 and 3 in. and are increasing at the rate of 0.5 and 0.4 in./sec, respectively. How fast is the volume of the cylinder increasing?

Question

The volume of a right-circular cylinder of radius r and height h is  . Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 2 and 3 in. and are increasing at the rate of 0.5 and 0.4 in./sec, respectively. How fast is the volume of the cylinder increasing?

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The Answer of The volume of a right-circular cylinder of radius r and height h is  . Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 2 and 3 in. and are increasing at the rate of 0.5 and 0.4 in./sec, respectively. How fast is the volume of the cylinder increasing?

The Volume of a Right-Circular Cylinder of Radius R and Height