Q. 75.0( 2 Votes )

# A circus tent consists of cylindrical base surmounted by a conical roof. The radius of the cylinder is 20 m. The height of the tent is 63 m and that of the cone is 21 m. Find the volume of the tent and the area of the canvas used for making it.

Answer :

Height of the tent = height of the cylinder + height of the cone.

Given, height of the cone (H) = 21 m

height of cylindrical base(h) = 63 - 21 = 42 m

Radius of the cylinder (r)= radius of the cone(r) = 20 m

∴ Volume of the circus tent = Volume of the cylinder + volume of the cone.

=πr

= x 400(42 + 7)

= 61600 m

Slant height of the cone = = 29

Now, area of the canvas in making the tent

= curved surface area of the cylinder + Curved surface area of the cone

= 2πrh + πr

= πr(2h +

= x 20(84 + 29)

= 7102.85 m

Given, height of the cone (H) = 21 m

height of cylindrical base(h) = 63 - 21 = 42 m

Radius of the cylinder (r)= radius of the cone(r) = 20 m

∴ Volume of the circus tent = Volume of the cylinder + volume of the cone.

=πr

^{2}h +^{ }πr^{2 }Η =^{ }πr^{2 }(h+)= x 400(42 + 7)

= 61600 m

^{3}Slant height of the cone = = 29

Now, area of the canvas in making the tent

= curved surface area of the cylinder + Curved surface area of the cone

= 2πrh + πr

*l*= πr(2h +

*l*)= x 20(84 + 29)

= 7102.85 m

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