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 6 and 3 in. and are increasing at the rate of 0.4 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 6 and 3 in. and are increasing at the rate of 0.4 and 0.1 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 6 and 3 in. and are increasing at the rate of 0.4 and 0.1 in./sec, respectively. How fast is the volume of the cylinder increasing? A) 18 in³/sec B) 10.7 in³/sec C) 22.7 in³/sec D) 9.4 in³/sec

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