Question

The radius of the base of a right cone is 7 cm and it's height is 24cm .then the volume of cone will be

Answer 1

Given :

• Radius of the base of the right-circular cone = 7 cm.

• Height of the cone = 24 cm

To find :

The volume of the cone.

Solution :

To Find the Volume of the cone , we can use the Formula for Volume of a cone.i.e,

Volume of a cone :

$\boxed{\bf{V_{(cone)} = \dfrac{1}{3}\pi r^{2}h}}$

Where :-

• V = Volume of the cone
• r = Radius of the cone
• h = Height of the cone

Now, using the above formula and substituting the values in it, we get :

$:\implies \bf{V_{(cone)} = \dfrac{1}{3}\pi r^{2}h}$

$:\implies \bf{V_{(cone)} = \dfrac{1}{3} \times \dfrac{22}{7} \times 7^{2} \times 24}\:\:\:\:[\because \bf{\pi = \dfrac{22}{7}}]$

$:\implies \bf{V_{(cone)} = \dfrac{1}{3} \times \dfrac{22}{7} \times 49 \times 24}$

$:\implies \bf{V_{(cone)} = \dfrac{1}{3} \times 22 \times 7 \times 24}$

$:\implies \bf{V_{(cone)} = 22 \times 7 \times 8}$

$:\implies \bf{V_{(cone)} = 1232}$

$\boxed{\therefore \bf{Volume\:[V_{(cone)}] = 1232\:cm^{3}}}$

Hence, the volume of the cone is 1232 cm³.