Q9 of 22 Page 258

A tent is a cylinder to a height of 4.8 m and conical above it. The radius of the base is 4.5 m and the total height of the tent is 10.8 m. Find the canvas required for the tent in square meters.

The figure is given below:



Given, radius of cone and cylinder part = 4.5 cm


height of cylinder = 4.8 cm


height of cone = 10.8 – 4.8 = 6 cm


lateral side of cone = L2 = 62 + 4.52


L2 = 36 + 20.25


L2 = 56.25


L = 7.5 cm


Canvas required for tent = Curved surface area of cylinder + curved surface area of cone.


= 2π × 4.5 × 4.8 + π × 4.5 × 7.5


= π(43.2 + 33.75)


= 3.14 × 77.25


= 242.56 cm2


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