Q7 of 32 Page 13

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.

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. 
                                       =πr2h +   πr Η =  πr2 (h+)
                                       = x 400(42 + 7)
                                       = 61600 m3 
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 + πrl
                  = πr(2h + l)
                  = x 20(84 + 29)
                  = 7102.85 m2.

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