The slant height and base diameter of a conical tomb are $ 25 \mathrm{~m} $ and $ 14 \mathrm{~m} $ respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per $ 100 \mathrm{~m}^{2} $.
Given:
The slant height and base diameter of a conical tomb are $25\ m$ and $14\ m$ respectively.
To do:
We have to find the cost of white-washing its curved surface at the rate of $Rs.\ 210$ per $100\ m^2$.
Solution:
Slant height of the cone $(l) = 25\ m$
Diameter of the base $=14\ m$
This implies,
Radius of the base $(r)=\frac{14}{2}$
$=7 \mathrm{~m}$
Therefore,
The curved surface area of the cone $=\pi r l$
$=\frac{22}{7} \times 7 \times 25$
$=550 \mathrm{~m}^{2}$
Rate of white-washing $= Rs.\ 210$ per $100 \mathrm{~m}^{2}$
The total cost of white-washing the curved surface area $=Rs.\ \frac{550 \times 210}{100}$
$= Rs.\ 1155$
The total cost of white-washing the curved surface area is $Rs.\ 1155$.
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