Question

find the volume of a cone whose diameter is 14cm and slant height 25cm 1 1232cu.com 2) 1430 Cucan. 3) 615400 (4.cm 4) 4280 L4.cm​

Answer 1

Answer:

1) 1232 cubic cm

Step-by-step explanation:

Given :-

Slant height = l = 25 cm

Diameter = d = 14 cm. So, radius = r = d/2 = 14/2 = 7cm

To find :-

Volume of the cone

Solution :-

By Pythagoras theorem,

${r}^{2} + {h}^{2} = {l}^{2}$

So,

${h}^{2} = {l}^{2} - {r}^{2}$

So,

${h}^{2} = {(25)}^{2} - {(7)}^{2}$

Or,

${h}^{2} = 625 - 49 = 576$

Or,

$h = \sqrt{576} = 24 \: cm$

Now, we know that, Volume of a Cone

$= \frac{1}{3} \pi {r}^{2} h$

$= \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times 24$

$= 1232 \: {cm}^{3}$