Floor Area

The length of canvas 75 cm wide required to build a conical tent of height 14 m and the floor area 346.5 m² is:

  1. 490 m
  2. 860 m
  3. 665 m
  4. 770 m
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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1 Answer(s)

Answer:  (4) 770 cm

Explanation:-
Let the length of canvas be X m.
The floor area of conical tent = 346.5

Formula –
Floor area of the conical tent = pai x r^2

Then, pai x r^2 = 346.5
r^2 = 346.5 x 7/22
r^2 = 110.25
Square root on both side,
r = 10.5 cm
Then, the slant height of the canvas = (10.52 + 142)1/2
 = (306.5)1/2
Area of the canvas = Curved surface area of the conical tent
Then, 75 x X /100 = pai x r x 17.5
3 X /4 = 22 x 10.5 x 17.5/7
X = 7.7 m
X = 770 cm                      (1m = 100 cm)

Hence, the answer is (4) 770 cm.

Anurag Mishra Professor Answered on 2nd September 2015.
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