Question

How much cloth 2.5 m wide will be required to make a conical tent
having base radius 7 m and height 24 m?​

Answer 1

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Answer 2

$\huge \bf {Question}$

How much cloth 2.5 m wide will be required to make a conical ten

having base radius 7 m and height 24 m?

$\huge \bf {Answer}$

Given:-

• Radius of the conical tent = 7m.
• Height of the conical tent = 24m.
• Breadth of cloth = 2.5m.

To Find:-

Length of required cloth to make the conical tent.

We know that

• Slant height (l) = √(r² + h²)

By substituting the values

l = √(7² + 24²)

On further calculation

l = √(49 + 576) = √625

So we get

$\fbox \green {l = 25m.}$

We know that

• Area of the cloth = πrl

By substituting the values

Area of cloth = (22/7) × 7 × 25

Area of cloth = 22 × 25

Area of cloth = $\fbox \green {550 m²}$

We know that

Length of the cloth × Breadth of the cloth = Area of the cloth

Length of the cloth × 2.5 = 550 m²

Length of the cloth = 550/2.5

Length of the cloth = $\fbox \green {220m. }$

Therefore, 220m of cloth is required to make the conical tent.