Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

If the rate of change of volume of a sphere is the same as rate of change of its radius, then radius is equal to:

Options:

1

$\frac{1}{2\sqrt{π}}$

$\sqrt{2π}$

Arbitray

Correct Answer:

$\frac{1}{2\sqrt{π}}$

Explanation:

$V=\frac{4}{3}πr^3;\frac{dV}{dt}=\frac{4}{3}π×3r^2\frac{dr}{dt}=\frac{dr}{dt}⇒r=\frac{1}{2\sqrt{π}}$