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How many meters of cloth, 2.5 m wide, will be required to make a conical tent whose base radius is 7 m and height 24 meters?

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240 m

230 m

220 m

250 m

answer is B.

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Detailed Solution

Given, radius = 7 m, height = 24 m.
Then slant height is,

l = 72 + 242

l = 625

l = 25

m
The area of the cloth required to make the tent = curved surface area of the conical tent.
We know, Curved Surface Area=

π r l

.
So, the curved surface area is,

Area = 227 × 7 × 25

⇒ 550

2

Given, the width of the cloth is 2.5 m.
Now let us find the length of the cloth by,

Length = Area Width

Length = 550 2.5

⇒ 220

m
So, the length of the cloth is 220m.
Therefore, the correct option is 2.

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