Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The radius r of a sphere changes at a rate of -2 cm/s. Then which of the following statements is true regarding the ratio of the rate of change in Surface Area to the rate of change in volume with respect to time?

Options:

The ratio depends on \[ { r }^{ 2 } \]

The ratio depends on \[\frac{1}{ { r }^{ 2 } }\]

The ratio depends on r

The ratio depends on /r

Correct Answer:

The ratio depends on /r

Explanation:

\[\frac{dS/dt}{dV/dt}=2/r\]