Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Find the volume of a cone if height of the cone is 3 m and diameter of the base is 28 m. (Take $\pi=\frac{22}{7}$)

Options:

$1848\, m^3$

$132\, m^3$

$616\, m^3$

$396\, m^3$

Correct Answer:

$616\, m^3$

Explanation:

Volume of cone = \(\frac{1}{3}\)πr²h

Diameter = \(\frac{Radius}{2}\)

= \(\frac{28}{2}\)

= 14

= \(\frac{1}{3}\) × \(\frac{22}{7}\) × 14 × 14 × 3

= 616

The correct answer is option (3) : $616\, m^3$