Question

A heap of rice is in the form of a cone of base diameter 24m and height 3.5m. Find the volume of the rice. How much canvas cloth is required to fully cover the heap?

Answer 1

Volume of rice = volume of cone =
Here , r = 12 [ ∵ diameter = 24 m ] and h = 3.5m

Now, volume of rice = 1/3 × 22/7 × (12)² × 3.5 m³
= 1/3 × 22/7 × 12 × 12 × 7/2 m³
=22 × 24 = 528 m³

Again, area of canvas cloth = curve surface area of cone = πrl
Here l =
= √{12² + 3.5²} = √{144 + 12.25 } = √{156.25} = 12.5 m
∴ area of canvas cloth = 22/7 × 12 × 12.5 m²
= 471.42 m²

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