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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 height 12 cm, slant height 13 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 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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