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. ⇒ 2 πr ( r + h ) = 1,672 m² ⇒ 2 × 22/7 × r × 19 = 1,672 m² ⇒ r = (1672 × 7 )/(2 × 22 × 19) = 14 ∴ h = 19 - 14 = 5m ∴Volume of the cylinder = πr² h = 22/7 × 14 ×14 × 5 = 3,080m³
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