Question

A conical pit of top diameter 3.5 m is 12 m deep. What is the capacity in kilolitres?

Answer 1

Therefore, the capacity of conical pit is 38.5 kilolitres.

Explanation:

Given:

Shape is of Cone

Diameter = d = 3.5 m

∴ Radius =
`(3.5)/(2)=1.75`

Deep = Height = h = 12 m

Pi=
`(22)/(7)`

To Find:

Volume of Conical Pit( in kilolitres) = ?

Solution:

Volume of Cone is given by the formula,

`\textrm{Volume of Cone}=(1)/(3)\pi (radius)^(2) * height`

Substituting the values we get

`\textrm{Volume of Cone}=(1)/(3)* (22)/(7)* (1.75)^(2) * 12=38.5\ m^(3)`

Also,

`1\ m^(3)=1000\ Litres=1\ kilolitres\\\\\therefore 38.5\ m^(3)=38.5\ kilolitres`

Therefore, the capacity of conical pit is 38.5 kilolitres.