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The vertical height of a right circular conical tent is 4 m and the volume of space inside it is 138 2/7 m3. Find the canvas required to make the tent.

Also find the cost of canvas at the rate of rs 120 per m2.



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Given, h= 4m
V= 138 \frac{2}{7} m^3968 m^3
V(cone)=  \frac{1}{3}  \pi r^2h
968= \frac{1}{3}  *  \frac{22}{7} *4*r^2
 \frac{968*7*3}{22*4} =r^2
r= \sqrt{231} =15.19m
We know, l= \sqrt{r^2+h^2} = \sqrt{(15.19)^2 + 4^2}
= \sqrt{230.7361+16} = \sqrt{246.7361} =15.7 m=l
Area of canvas=CSA= \pi rl=  \frac{22}{7} *15.19*15.7
CSA= 749.518 m^2
=Rs 89942.16
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