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Question

The cost of canvas required for a conical tent of height 8m and diameter of base 12m at the rate of Rs. 3.50 per m2 is:
  1. Rs. 620
  2. Rs. 600
  3. Rs. 640
  4. Rs. 660

A
Rs. 620
B
Rs. 640
C
Rs. 660
D
Rs. 600
Solution
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The correct option is D Rs. 660
Given that conical tent of canvas height is 8m and diameter of base is 12m.
Then, radius of base =122=6m.
Therefore, area of conical tent =πr(r2+h2)=227×6×(8)2+(6)260×227cm2.

If cost of canvas is 3.50 per sq. cm,

then cost of canvas=60×227×3.5=Rs.660.

Hence, option D is correct.

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