Question
The sum of the radius and height of a cylinder is 19m.
The total surface area of the cylinder is 1,672 m². What is the volume of the cylinder?Solution
Surface area of the cylinder = 1,672 m². ⇒ 2πr (r + h) = 1,672 m² ⇒ 2 × 22/7 × r × 19 = 1,672 m² ⇒ r = `(1672xx7)/(2xx22xx19)` = 14 ∴ h = (19 - 14)m = 5m ∴Volume of the cylinder = πr² h = `22/7xx14xx14xx5` = 3,080m³
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