Question

a heapofwheat is in the form of a cone whose diameter is 10.5 m and height is 3m find its volume the heap is to be covered by canvas to protect it from rain find the area of the canvas required​

Answer 1

AnswEr:

$\sf{Given}\begin{cases}\sf{Radius=5.25m }\\ \sf{Height=3cm}\\ \end{cases}$

$\star \sf \: Volume \: = \tt \: \frac{1}{2} \pi {r}^{2} h \\ \\ \longrightarrow \tt \: \frac{1}{3} \times \frac{22}{7} \times 5.25 \times 5.25 \times 3 \\ \\ \longrightarrow \tt \: 86.625 \: {m}^{3}$

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Area of canvas required = CSA of cone

$\qquad \sf \: \pi \: rl = \pi r( {r}^{2} + {h}^{2} ) \\ \\ \longrightarrow \tt \frac{22}{7} \times 5.25 \times \sqrt{ {(5.25)}^{2} + {(3)}^{2} } \\ \\ \longrightarrow \sf \: \frac{22}{7} \times 5.25 \times 6.05 \\ \\ \implies \tt \: 99.825 \: \: {m}^{2}$

Therefore, the area of canvas required will be 99.825 m².