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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.2 in Chapter 17 - Mensuration
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The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white washing its curved surface area at the rate of Rs 210 per 100 m2.
Solution:
The shape of a cone is produced by stacking several triangles and spinning them around an axis. It has a total surface area and a curved surface area because it has a flat base.
Given slant height of conical tomb, l = 25 m
Base diameter, d = 14 m
So radius, r = 14/2 = 7 m
Curved surface area =π rl
= (22/7)×7×25 = 550 m2
Hence the curved surface area of the cone is 550 m2.
Rate of washing its curved surface area per 100 m2 = Rs. 210
So total cost = (550/100)×210 = Rs. 1155
Hence the total cost of washing its curved surface area is Rs. 1155. 
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