Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The radius r of a given sphere increases at the rate of 4 cm/s. Find the rate of change in its volume with respect to time when r = 0.25 cms.

Options:

\[16\pi \]

\[64\pi \]

\[36\pi \]

\[\pi \]

Correct Answer:

\[\pi \]

Explanation:

dV/dt =\[16\pi { r }^{ 2 } \]