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  • 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?

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?

Answers (1)

Answer 74.18 m3, 67.11 m2

Solution

\text{Height of cone}=3.5 m

Diameter=9 m

Radius=\frac{9}{2}= 4.5m

Volume=\frac{1}{3}\pi r^2h=\frac{1}{3}\times\frac{22}{7}\times(4.5)^{2}\times3.5=74.18m^3

\text{Canvas cloth required to covers the heap}=\pi r l

Here l is slant height

1=\sqrt{r^2+h^2}=\sqrt{(4.5)^2+(3.5)^2}\Rightarrow 4.75

Curved surface area is  =\pi r l

=3.14\times4.5\times4.75 = 67.11m^2

Hence 67.11m2 canvas cloth is required to just cover the heap.

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infoexpert21

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