A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is

Given: A circus tent is cylindrical to a height of 4 m and conical above it.


Its diameter is 105 m and its slant height is 40 m.


CSA of the Cylinder is given by: 2πrh (here, r and h are radius and height respectively)


Let V1 be the CSA of the cylindrical part of tent


V1 = 2πrh


V1 = 2 × π × × 4 = 1320cm2 (here diameter is 105 cm, radius = cm)


CSA of the cone is given by: πrl (here, r and l are radius and slant height respectively)


Let V2 be the CSA of the conical part of tent


V2 = πrl


V2 = π × × 40 = 6600 cm2 (here diameter is 105 cm, radius = cm)


Total area of the canvas is V1 + V2


V1 + V2 = 1320 + 6600 = 7920cm2


Total area of the canvas is: 7920 cm2

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