Question

The curved surface area of a cone is 550 cm ². If its diameter is 14 cm, find its volume.

Answer 1

ANSWER :

The volume of the cone is 1232 cm³.

SOLUTION IS IN THE ATTACHMENT.

CONE:

A cone is a solid generated by the revolution of a right angled triangle about one of its side containing the right angle as axis.

Curved surface area of a cone = πrl

Volume of a cone = ⅓ πr²h

Slant height of the cone (l) = √r²+h²

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Step-by-step explanation:

AnswEr:-

Height of Cone is 24 cm.

Step by Step Explanation:-

Given:-

Curved surface area of cone= 550 cm

Diameter = 14cm

$\rule{150}2$

We know that,

Curved surface area of cone = πrl.

$\rule{150}2$

Now,

★ Putting Values:-

$:\implies\sf\; 550 cm^2\; =\; \dfrac{22}{7}\times\;7\times\; l$

$:\implies\sf\dfrac{550\times\;7}{22\times\;7} \; =\; l$

$:\implies\sf \; 25 cm = l$

$:\implies\sf\; l^2 = r^2\;+\;h^2$

$:\implies\sf\;25^2\;=\;7^2\;+\;h^2$

$:\implies\sf\;625\;=\;49\;+\;h^2$

$:\implies\sf\;625\;=\; h^2$

$:\implies\sf\;576\;=\;h^2$

$:\implies\sf\sqrt{576}\;=\; h$

$:\implies\large\boxed{\sf{\red{24cm = h}}}$

So, The Height of the Cone is 24cm.

$\rule{150}2$