The volume of a right circular cone of radius r and height h is . Suppose that the radius and height of the cone are changing with respect to time t.
a.Find a relationship between , , and .
b.At a certain instant of time, the radius and height of the cone are 12 in.and 13 in.and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively.How fast is the volume of the cone increasing?

Question

The volume of a right circular cone of radius r and height h is  . Suppose that the radius and height of the cone are changing with respect to time t. 
a.Find a relationship between  ,  , and  . 
b.At a certain instant of time, the radius and height of the cone are 12 in.and 13 in.and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively.How fast is the volume of the cone increasing?

Quizplus · Accepted Answer

The Answer of The volume of a right circular cone of radius r and height h is  . Suppose that the radius and height of the cone are changing with respect to time t. 
a.Find a relationship between  ,  , and  . 
b.At a certain instant of time, the radius and height of the cone are 12 in.and 13 in.and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively.How fast is the volume of the cone increasing?

The Volume of a Right Circular Cone of Radius R