# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration

Question 10 Mensuration Exercise 17.2

Find the capacity in litres of a conical vessel with height 12 cm, slant height 13 cm.

Solution:

Consider a cone with a height of "h" and a circular base with radius "r." This cone's volume will be equal to one-third of the base's area multiplied by its height.

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)π 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.

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