Question
The radius of the base of a
cylindrical tank is 5 metres. If eight times the sum of the areas of its two circular faces is four times the area of its curved surface, then find the difference between its radius and its height. {TakeĀ ĻĀ = 22/7}Solution
ATQ,
Area of two circular faces = 2Ļr2 Curved surface area (CSA) = 2Ļrh Equation = 8Ć(2Ļr2) = 4Ć(2Ļrh)
Simplify: 16Ļr2 = 8Ļrh ā¹ 2r = h Substitute r = 5: h = 2r = 2Ć5 = 10metres Find the difference = h ā r = 10 ā 5 = 5metres
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