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Question

The height of a tent is 9 m. It's base diameter is 24 m. What is its slant height. Find the approximate cost of canvas cloth required if it costs Rs. 14 per sq. m.

Solution
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Given the base diameter of tent is d=24 m and height of a tent is h=9 m and the cost of canvas cloth is Rs. 14 per sq m.

Let slant height of tent be l, then

l2=r2+h2l=(12)2+(9)2=225=15m.

Therefore, Area of canvas required = Curved surface area of the cone
=πrl=227×12×15=39607

Then, Cost of canvas =Rs.(39607×14)=Rs.7920.

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