Q : 4     A conical tent is 10 m high and the radius of its base is 24 m. Find

            (ii) cost of the canvas required to make the tent, if the cost of \small 1\hspace{1mm}m^2 canvas is Rs 70.

Answers (1)

Given, 

Base radius of the conical tent  = r=24\ m

Height of the conical tent = h=10\ m

\therefore Slant height = l=\sqrt{h^2+r^2} = 26\ m

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

\therefore  Curved surface area of the tent 

\\ = \frac{22}{7}\times24\times26 \\ \\ =\frac{13728}{7}\ m^2

Cost of 1\ m^2 of canvas = Rs.\ 70

\therefore Cost of \frac{13728}{7}\ m^2 of canvas =

Rs.\ (\frac{13728}{7}\times70) = Rs.\ 137280

Therefore, required cost of canvas to make tent is Rs.\ 137280

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