Question

A heap of wheat is in the shape of cone whose diameter is 10.5 and height is 3 cm. find its volume. The heap is to be covererd by the canvas to protect rain. find the area of canvas to be required.

Answer 1

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For heap of wheat,

Diameter = 10.5m

Radius = 5.25m

Height = 3m


$Volume \: = \frac{1}{3}\pi {r}^{2}h \\ \\ = \frac{1}{3} \times \frac{22}{7} \times (5.25 {)}^{2} \times 3 \\ \\ = 86.625 {m}^{3} \\ \\ Slant \: Height = \sqrt{ {r}^{2} + {h}^{2} } \\ \\ = \sqrt{(5.25 {)}^{2} + (3 {)}^{2} } \\ \\ = \sqrt{36.5625} \\ \\ = 6.05 \: \: (approx) \\ \\ C. S. A = \pi \: rl \\ \\ = \frac{22}{7} \times 5.25 \times 6.05 = 99.825 {m}^{2}$

Hence, the area required for canvas is 99.825 m².


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