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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 Rs 210 per 100 m square.

Q : 6    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 Rs 210 per \small 100\hspace{1mm}m^2.
 

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Given, a conical tomb

The base diameter of the cone = d =14\ m

Slant height = l = 25\ m

We know, Curved surface area of a cone = \pi r l

\\ = \frac{22}{7}\times\frac{14}{2}\times25 \\ \\ = 22\times25 \\ = 550\ m^2

Now, Cost of whitewashing per \small 100\hspace{1mm}m^2 =\small Rs.\ 210

\therefore Cost of whitewashing per \small 550\hspace{1mm}m^2 = \small \\ Rs. (\frac{210}{100}\times550 )

\small \\ = Rs.\ (21\times55 ) = Rs.\ 1155

Therefore, the cost of white-washing its curved surface of the tomb is  \small Rs.\ 1155

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