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Question

Mathematics Question on Surface Area of a Right Circular Cone

The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of whitewashing its curved surface at the rate of ₹210 per 100 m2.

Answer

Slant height (l) of conical tomb = 25 m
Base radius (r) of tomb = 142\frac{14}{2}=7 m
CSA of conical tomb = πrl\pi rl
= 227\frac{22}{7} × 7 m × 25 m
= 550m2
Cost of white-washing 100 m2 area = Rs 210
Cost of white-washing 550 m2 area = (210100\frac{210}{100}) × 550
= ₹1155
Therefore, it will cost Rs 1155 while whitewashing such a conical tomb.