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Q.

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

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a

210m

b

230m

c

260m

d

220m

answer is D.

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Detailed Solution

Given, the base radius of a conical tent is 7 m and the height is 24 m.
We know that the curved surface area of the cone is

πr \sqrt{r^{2} + h^{2}}

.

πr \sqrt{r^{2} + h^{2}}

= π (7) \sqrt{7^{2} + 24^{2}}

= 550 m^{3}

The cloth required = curved surface area

\div

width of the cloth.
The cloth required =

\frac{550}{2.5} = 220 m

.
Hence, option 4 is correct.

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