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The circumference of the base of a 12 m high conical tent is 66 m. Find the volume of the air contained in it. - Mathematics

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Question

The circumference of the base of a 12 m high conical tent is 66 m. Find the volume of the air contained in it.

Sum

Solution

Given, Circumference of conical tent C = 66 m

And height (h) of conical tent = 12 m.

∴ Radius = `C/(2pi)`

= `(66 xx 7)/(2 xx 22)`

= `21/2`

= 10.5 m

∴ Volume of the air contained by it

= `1/3 pir^2h`

= `1/3 xx 22/7 xx 21/2 xx 21/2 xx 12  m^3`

= 1386 m3

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Chapter 20: Cylinder, Cone and Sphere - Exercise 20 (B) [Page 303]

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Selina Mathematics [English] Class 10 ICSE
Chapter 20 Cylinder, Cone and Sphere
Exercise 20 (B) | Q 3 | Page 303

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