Question

Find the capacity in litres of a conical vessel with height 12 cm and slant height of 13cm ?

Answer 1

Capacity of conical vessel `color(green)(V = 0.314159` `litres`

Explanation:

`l = 13 cm, h = 12 cm`

Radius of base `r = sqrt (l^2 - h^2) = sqrt(13^2 - 12^2) = 5`

Volume of cone `V = 1/3 pi r^2 h`

`V = 1/3 pi * 5^2 * 12 =100pi cm^3`

`1000` cc `= 1 litre`

`:. V = (100pi)/1000` litres

`V~~0.314159` litres