a heap of wheat is in the form of a cone of diameter 10.5m and height is 3 m. find its volume.. the heap is to be covered by canvas to protect it from rain find the area of the canvas required
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Radius of the conical heap of wheat (r) = 10.5/2 m
Height of the conical heap of wheat (h) = 3 m
Volume of the conical heap of wheat = 1/3πr2h = 1/3 x 22/7 x (10.5/2)2 x 3
= 173.25/2 = 86.625 m3
Slant height of the cone l = root under(√r2 + h2)
= root under(√(10.5/2)2 + 32 ) = root under(√(5.25)2 + 32 )
= root under(√27.5625 + 9) = root uner(√36.5625)
I = 6.05 m
Area of canvas required = curved surface area of cone
πrl = 22/7 x 10.5/2 x 6.05 = 99.825 m2
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