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Question
A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 2 m canvas is Rs. 70, find the cost of the canvas required to make the tent.
Solution
Given that
Height of conical tent (h)=10m
Radius of conical tent (r) = 24m
Let slant height of conical tent be l
`l^2=h^2+r^2=(10m)^2+(24m)^2=(100+576)m^2`
=`676m^2`
l=26m.
Thus, the slant height of the conical tent is 26 .
(ii) Given that
Radius (r)=24
Slant height (l)=26
CSA of tent =`pirl=22/7xx24xx26=13728/7m^2`
Cost of `1m^2`canvas S=Rs.70.
`Cost of 13728/7m^2 canvas= 13728/7xx10`
= Rs.1,37,280.
Thus, the cost of canvas required to make the tent is Rs. 137280.
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