Question

Calculate the volume of a cylindrical container, whose diameter is 24cm and height is 14cm

6336
6326
6226
6126

Answer 1

`\boxed{\sf Volume \ of \ the \ cylindrical \ container = 6336 \ cm^3}`

Given:

Diameter (d) = 24 cm

Height (h) = 14 cm

To Find:

Volume of the cylindrical container (V)

Explanation:

`\boxed{ \bold{\sf Volume \ (V) = \pi \frac{ {d}^(2) }{4} h}}`

Substituting values of π, d & h in the equation:

`\sf \implies V = (22)/(7) * \frac{ {(24)}^(2) }{4} * 14`

`\sf \implies V = \frac{22}{ \cancel{7}} * (576)/(4) * 2 * \cancel{7}`

`\sf \implies V = 22 * \frac{144 * \cancel{4}}{ \cancel{4}} * 2`

`\sf \implies V = 22 * 144 * 2`

`\sf \implies V = 22 * 288`

`\sf \implies V = 6336 \: {cm}^(3)`

Answer 2

V =6333.45079

Explanation:

The volume of a cylinder is

V = pi r^2 h

We know the diameter is 24

r = d/2 =24/2 = 12

V = pi*12^2 * 14

V =2016 pi

Letting pi = pi button

V =6333.45079