Question 134

The radius of the base of a Conical tent is 12 m. The tent is 9 m high. Find the cost of canvas required to make the tent, if one square metre of canvas costs 120 (Take π = 3.14 )

Solution

Height of tent is 9 m and radius of base is 12 m.

=> Slant height $$(l)$$ of cone = $$\sqrt{h^2 + r^2}$$

=> $$l = \sqrt{9^2 + 12^2} = \sqrt{225}$$

=> $$l$$ = 15 m

Now, curved surface are of tent = $$\pi r l$$

= $$3.14 * 12 * 15 = 565.2 cm^2$$

Cost of canvas for $$1 m^2$$ = Rs. 120

=> Cost of canvas for $$565.2 m^2$$ = 120 * 565.2

= Rs. 67,824

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