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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm.
Answer:
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 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)π 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. 
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