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 8 and 4 in. and are increasing at the rate of 0.5 and 0.1 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 8 and 4 in. and are increasing at the rate of 0.5 and 0.1 in./sec, respectively.
How fast is the volume of the cylinder increasing?

Quizplus · Accepted Answer

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 8 and 4 in. and are increasing at the rate of 0.5 and 0.1 in./sec, respectively.
How fast is the volume of the cylinder increasing?

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