Find the volume of the right circular cone with
(i) radius $ 6 \mathrm{~cm} $, height $ 7 \mathrm{~cm} $
(ii) radius $ 3.5 \mathrm{~cm} $, height $ 12 \mathrm{~cm} $.

To do:

We have to find the volume of the right circular cone with

(i) radius \( 6 \mathrm{~cm} \), height \( 7 \mathrm{~cm} \)
(ii) radius \( 3.5 \mathrm{~cm} \), height \( 12 \mathrm{~cm} \).

Solution:

(i) Radius of the cone $(r) = 6\ cm$

Height of the cone $(h) = 7\ cm$

Therefore,

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

$=\frac{1}{3} \times \frac{22}{7} \times 6 \times 6 \times 7$

$=264 \mathrm{~cm}^{3}$

The volume of the cone is $264\ cm^3$.

(ii) Radius of the cone $(r)=3.5 \mathrm{~cm}$

Height of the cone $(h)=12 \mathrm{~cm}$

Therefore,

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

$=\frac{1}{3} \times \frac{22}{7} \times 3.5 \times 3.5 \times 12$

$=154 \mathrm{~cm}^{3}$

The volume of the cone is $154\ cm^3$.

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Updated on: 10-Oct-2022

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