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Question

a heap of rice is in the form of cone of diameter 9m and hieght 3.5m.find the volume of the rice.how much canvas cloth is required to just cover the heap?


Solution

Volume of cone = 1/3 * pie * r * r * h

D = 9 m , r = 9 / 2 m

Volume = (1 / 3) * (22 / 7) * (9/2)*(9/2)*(3.5) = 74.25 m3

Just to cover , the heap, we need the CSAof cone

Slant height of cone = root [ r2 + h2 ] = root [ (9 / 2) * (9 / 2) + (3.5)*(3.5) ] = 5.7008 m

CSA= pie * r * l = (22 / 7) * (9/2) * (5.7008) = 80.6256m

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