• 0
Newbie

# Find the capacity in litres of a conical vessel with (i) radius 7 cm, slant height 25 cm (ii) height 12 cm, slant height 13 cm

• 0

An Important Question of M.L Aggarwal book of class 10 Based on Mensuration Chapter for ICSE BOARD.
You have to find the capacity in litres of a conical vessel with its radius and slant height are given in this question.
This is the Question Number 06, Exercise 17.2 of M.L Aggarwal.

Share

### 1 Answer

1. Given radius, r = 7 cm

Slant height, l = 25 cm

We know that l2 = h2+r2

Height of the conical vessel, h = √(l2-r2)

= √(252-72)

= √(625-49)

= √576

= 24 cm

Volume of the cone = (1/3)r2h

=(1/3)×(22/7)×72×24

= 22×7×8

= 1232 cm3

= 1.232 litres [1 litre = 1000 cm3]

Hence the volume of the cone is 1.232 litres.

(ii) Given height, h = 12 cm

Slant height, l = 13 cm

We know that l2 = h2+r2

Radius of the conical vessel, r = √(l2-h2)

= √(132-122)

= √(169-144)

= √25

= 5 cm

Volume of the cone = (1/3)r2h

=(1/3)×(22/7)×52×12

= (22/7)×25×4

= 2200/7 cm3

= 2.2/7 litres [1 litre = 1000 cm3]

= 0.314 litres

Hence the volume of the cone is 0.314 litres.

• 0