How much 1.25 meter wide cloth will be required to male it?

The radius of base of a conical tent is 7 meter and its height is 24 meter. How much 1.25 meter wide cloth will be required to male it?
(a) 320 m
(b) 520 m
(c) 400 m
(d) 440 m

Anurag Mishra Professor Asked on 30th June 2016 in Maths.
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1 Answer(s)

Answer: (d) 440 m 

Solution:-
The radius of a conical tent = 7 meter
The height of a conical tent = 24 meter
Then, the slant height of the cone = sqrt. (7^2 + 24^2)
= sqrt. (49 + 576)
= sqrt.625
= 25 meter

Formula-
The surface area of conical tent = pai x r x l
Where, l = slant height, r = radius of the cone & pai = constant. 

Then,  the surface area of the conical tent = 22 x 7 x 25/7
= 550   m^2

length of the 1.25 meter wide cloth = 550/1.25
= 440  m

Hence, the correct answer is option (d) 440 m.

Anurag Mishra Professor Answered on 3rd July 2016.
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