Question

a largest right circular cone is formed by cutting wooden cubicle piece of 14m side find the volume of the cone​

Answer 1

Answer:

718.66 cm³

Step-by-step explanation:

Given

• Cube of side = 14cm

To find

Volume of cone formed = ?

Procedure

The side of cube becomes diameter of cone = 14 cm

So , the radius becomes = 7cm ( 14 ÷ 2 )

As it's a cube , which has all sides as same :

Height of cone remain as 14cm

$\sf volume \: of \: cone = \frac{1}{3} \pi \: {r}^{2}$

$\sf \implies \: \frac{1}{3} \times \frac{22}{78} \times {(7)}^{2} \times 14$

$\sf \implies \: \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times 14$

$\sf \implies \: \frac{1 \times 22 \times 7 \times 14}{3}$

$\sf \implies \: \frac{2156}{3}$

$\huge{ \boxed{ \sf \implies \: 718.66... {cm}^{3} }}$

What you need to know ?

• Volume of Cone remains :

$\sf \implies \frac{1}{3} \pi \: {r}^{2}$

• Don't round off your answers untill you reach final answer , we usually round off to three decimal places.

• The sides of a cube remains same .