Question

The radius of a conical tent is 7m and the height is 24m. calculate the length of the canvas used to make the tent if the width of the rectangular canvas is 4m?​

Answer 1

Answer:

• Length of the canvas = 137.5m

Explanation:

A conical tent of radius 7m and height 24m is made from a rectangular canvas of width 4m.

Finding it's length.

Here,

C. S. A.(curved surface area) of the conical tent = Area of the rectangular canvas.

C. S. A. of the conical tent is given by,

⇒ πrl

Where,

• r(radius) = 7m
• ‘l’ denotes the slant height.

Calculating ‘l’ :-

⇒ l = √(r² + h²)

⇒ l = √(7)² + (24)²

⇒ l = √49 + 576

⇒ l = √625

⇒ l = 25

So, the C. S. A. is :-

⇒ πrl

⇒ 22/7 × 7 × 25

⇒ 22 × 25

⇒ 550m²

Now,

Area of the canvas = C. S. A. of the tent

Where, the canvas is rectangular so area will length × breadth. And the C. S. A. of the tent is 550m²

⇒ length × width = 550m²

⇒ length × 4 = 550m²

⇒ length = 550/4

⇒ length = 137.5m

Answer 2

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Given :—

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• The radius of a conical tent is 7 m
• the height is 24 m

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To Find :—

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• calculate the length of the Canvas used to make the tent if the width of the rectangular Canvas is 4 metre.

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Solution :—

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It's given that r = 7 m & h = 24 m

$\:$

» l = √r² + h²

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» l = √ 7² + 24²

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» l = 25 cm

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Area of canvas :—

$\:$

→ π r l

$\: \:$

→ 22/7 × 7 × 25

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→ 550 m²

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width = 4 m [ given ]

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height = area/width

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→ height = 550/4

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→ height = 137.5 m

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