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

Question 73

Multiple Choice

The volume of a right-circular cylinder of radius r and height h is 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 in<sup>3</sup>/sec B)  10.7 in<sup>3</sup>/sec C)  22.7 in<sup>3</sup>/sec D)  9.4 in<sup>3</sup>/sec . ​
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

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