Question

The radius and height of a solid metallic cone are r cm each. The volume of the cone is:

Options

• \[\frac{1}{3} \pi r^{2}\]

• \[\frac{4}{3} \pi r^{2}\]

• \[\frac{1}{3} \pi r^{3}\]

• \[\frac{4}{3} \pi r^{3}\]

Answer 1

\[\boldsymbol{\frac{1}{3}\, \pi r^3}\]

Explanation:

By formula,

Volume of cone \[= \frac{1}{3}\, \pi \times (\text{radius})^2 \times \text{height}\]

Given,

Radius and Height of a solid metallic cone are \[r\ \text{cm}\] each.

Volume of cone \[= \frac{1}{3}\, \pi \times r^2 \times r = \frac{1}{3}\, \pi r^3.\]