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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kiloliters ?
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 diameter, d = 3.5 m
So radius, r = 3.5/2 = 1.75
Depth, h = 12 m
Volume of the cone = (1/3)π r2h
=(1/3)×(22/7)×1.752×12
= (22/7)× 1.752×4
= 38.5 m3
= 38.5 kilolitres [1 kilolitre = 1m3]
Hence the volume of the conical pit is 38.5 kilolitres. 
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