1.

a circus tent is cylindrical to a height of 3m and conical above it. if its diameter is 105m and slant height of cone is 5m. calculate the area of total canvas required.

Answer»

In this question,
Diameter of Cylinder = 105 m
Radius of Cylinder = 105/2 m = 52.5 m
Height of Cylinder = 3 m

C.S.A of Cylinder = 2 X pi x r x h
=> C.S.A = (2 x 22/7 x 52.5 x 3) m^2
=> C.S.A = 6930/7 m^2
=> C.S.A = 990 m^2

Now,
Radius of Cylinder = Radius of Cone = 52.5 m
Slant Height = 5 m

C.S.A of Cone = pi x r x l
=> C.S.A = 22/7 x 52.5 x 5
=> C.S.A = 5775/7 m^2
=> C.S.A = 825 m^2

Now,
Total AREA of Canvas = C.S.A of Cylinder + C.S.A of Cone
=> Total Area = (990+825) m^2
=> Total Area = 1815 m^2


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