Calculus 1 : How to find rate of flow

Study concepts, example questions & explanations for Calculus 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #41 : Rate

If water is poured inside a cylindrical cup with radius of 3 inches at a rate of 2 cubic inches per second, how fast is the surface rising?

Possible Answers:

Correct answer:

Explanation:

Write the volume of the cylinder.

Substitute the radius.

Differentiate the volume with respect to time.

Substitute the given rate.

The height is increasing at a rate of  inches per second.

Learning Tools by Varsity Tutors