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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 at the rate of ₹ 210 per 100 m2. Assume [Assume π=227] - Mathematics

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Question

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 at the rate of ₹ 210 per 100 m2.

`["Assume "pi=22/7]`

Sum

Solution

Slant height (l) of conical tomb = 25 m

Base radius (r) of tomb = `14/2` = 7 m

Curved surface area of conical tomb = πrl

=`(22/7 xx 7 xx 25)  m^2`

= 550 m2

Cost of white-washing 100 m2 area = ₹ 210

Cost of white-washing 550 m2 area = `₹((210xx550)/100)`

= ₹ 1155

Therefore, it will cost ₹ 1155 while white-washing such a conical tomb.

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Chapter 13: Surface Area and Volumes - Exercise 13.3 [Page 221]

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NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.3 | Q 6 | Page 221

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