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Question

A heap of wheat is in the form of a cone, whose diameter is 10.5 m and height 7 m. Find the volume of wheat in the heap. The heap is to be covered by canvas to protect it from rain, find the area of the canvas required.

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Solution

We have,Base radius of the conical heap, r=10.52=214 m andHeight of the conical heap, h=7 mNow,Volume of wheat in the heap=13πr2h=13×227×214×214×7=16178 m3=20218 m3Also,the slant height of the heap, l=h2+r2=2142+72=44116+49=122516=354 mSo, the area of the canvas required to protect the heap of wheat from rain=CSA of the heap=πrl=227×214×354=11558 m2=14438 m2


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