Question

The volume of cone is 462m.its base radius is 7m .find its height

Answer 1

radius = r= 7cm
let height = h cm
volume of the cone = 462m³
(πr²h)/3 = 462
πr²h = 3*462
22/7 * 7*7 *h = 3*462
22*7 *h = 3*462
h= (3*462)/(22*7)
after cancellation
h=9 cm

Answer 2

$\huge\underline \mathbb {SOLUTION :-}$

Answer:

• Height of the cone is 9m.

Given:

• The volume of cone is 462m³
• It's base radius is 7m.

Need To Find:

• The height of the cone = ?

Explanation:

As we know that the formula of Cone:

$\leadsto \mathsf \green {\frac{1}{3}\pi r^2h}$

Putting the values according to the given formula:

$\underline \mathsf \red {We\:Get\: :-}$

$\implies \mathsf {\frac{1}{3} \times \frac{22}{7} \times 7^2 \times Height = 462}$

$\implies \mathsf {\frac{1}{3} \times 22 \times 7 \times Height = 462}$

$\implies \mathsf {154 \times Height = 1386}$

$\implies \mathsf {Height = \cancel{\dfrac{13856}{154}} }$

$\implies \mathsf \green {Height = 9\:m}$

$\underline \textbf {Therefore :-}$

• The height of the cone = 9m.