The curved surface area of a right cylinder is 3696 cm2. Its height is three times its radius. What is the capacity (in …
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The curved surface area of a right cylinder is 3696 cm2. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π = )
✓ Correct answer: a) 25.872
ExplanationLet the radius of the cylinder be r, Then, height = 3r.Given: Curved surface area of cylinder = 3696 2πrh = 3696 ⇒ ⇒ ⇒r2 = 196 ⇒ r = 14 cm Therefore, height = 3 × 14 = 42 cm Now, volume of cylinder = πr2h = = 25872 cm3 We know that, 1000 cm3 = 1 litre Therefore, Capacity of the cylinder = = 25.872 litres
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