Question

A heap of wheat is in the form of a cone whose diameter is 24m & height 35m. a. Find its volume. b. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
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Answer 1

★Given :-

⇒diameter = 24m = d

⇒radius = d/2 = 12m = r

⇒height = 35m = h

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★To find :-

a) Volume of the cone shaped heap

a) Volume of the cone shaped heapb) CSA of cone ( Area of canvas required )

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★Solution★:-

a) Vol. of cone = ⅓πr²h

⇒V = 1/3 × 22/7 × 12 × 12 × 35

$V = \frac{22 \times 144 \times 5}{3} \\ \\ = 22 \times 48 \times 5 \\ \\ = 22 \times 240 \\ \\ V = \boxed{5280 {m}^{3} }$

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b) CSA of cone = πrl

⇒CSA = 22/7 × 12 × 35

$CSA = \frac{22 \times 12 \times 35}{7 \times 3} \\ \\ = 22 \times 20 \\ \\ \boxed{440 {m}^{2} }$

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Answers we got :-

⇒Volume of cone shaped heap = 5280 m³

⇒CSA of cone shaped heap (area of canvas) = 440m²

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I HOPE IT HELPS.