Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The largest right circular cone is carved out of a cube whose edge is of length ‘p’ units. Find the volume of the cone.

Options:

$\frac{πp^3}{12}$cu. units

$\frac{πp^3}{4}$cu. units

${πp^3}$cu. units

$\frac{πp^3}{5}$cu. units

Correct Answer:

$\frac{πp^3}{12}$cu. units

Explanation:

Volume of the cone = $\frac{1}{3}=πr^2h$

$=\frac{1}{3}×π×(\frac{p}{2})^2×p=\frac{πp^3}{12}$cu. units