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Question

A heap of rice is in the form of a cone of diameter 9m and height 3.5m. Find the volume of rice. How much canvas cloth is required to just cover the heap?

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Solution

Heap of rice is in shape of cone, so

r=92m=4.5m

h=3.5m

V=13πr2h=13×227×92×92×3.5

V=22×9×9×353×7×2×2×10=33×94=2974

V=74.25m3

Hence, volume of rice = 74.25m3.

For canvas:

Area of canvas = Curved surface area of cone

=πrl

Here, l2=r2+h2=(4.5)2+(3.5)2=20.25+12.25

l2=32.50

l=32.5=5.7m

Area of canvas = 227×4.5×5.7=80.614

Area of canvas = 80.61m2.



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