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Question 6
A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?


Solution

Given that, a heap of rice is in the form of a cone.
Height of a heap of rice i.e  cone (h) = 3.5 m
And diameter of a heap of rice i.e , cone = 9 m
Radius of a heap of rice i.e , cone (r)=92 m
So,   Volume of rice =13π×r2h=13×227×92×92×3.5=623784=74.25 m3
Now , canvas cloth required to just cover heap of rice
= Surface  area of a heap rice
=πrl=227×r×r2+h2=227×92×(92)2+(3.5)2=11×97×814+12.25
= 997×1304
= 14.142×5.7=80.61 m2 
Hence, 80.61 m2 canvas cloth is required to just cover the heap.


Mathematics
NCERT Exemplar
Standard X

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