Question
The amount of concrete required to build a concrete
cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Take Ο = 22/7)Solution
Concrete required to build pillar = Volume of the cylindrical pillar The curved surface area of a cylinder = 2Οrh The base of a cylinder is a circle whose perimeter = 2Οr The perimeter of the base of the pillar = 8.8 m β 2Οr = 8.8 β r = 1.4 m Also, Curved surface area = 17.6 m β 2Οrh = 17.6 β h = 17.6/2Οr β h = 2 m Now, Volume of cylindrical pillar = Οr2h β Οr2h = (22/7)(1.4)2 Γ 2 β 308/25 = 12.32 m3 β΄ Concrete required to build the pillar is 12.32 m3
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