Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The radius r of a given sphere decreases at the rate of 2 cm/s. Find the rate of change in its volume with respect to time when r = 0.5 cms.

Options:

\[-2\pi \]

\[2\pi \]

\[-4\pi \]

\[4\pi \]

Correct Answer:

\[-2\pi \]

Explanation:

dV/dt = \[-8\pi { r }^{ 2 } \]