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 = 22/7)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 25.872
Concept
Basic formula related to cylinder
Curved Surface Area of Cylinder = 2πrh
Volume of Cylinder = πr2h
Application
Let radius of cylinder = x
Therefore, the height of cylinder = 3x
C.S.A of cylinder = 2πrh
Putting the values
2πx(3x) = 3696
upon solving
x = radius = 14 cm
Height = 14 x 3 = 42 cm
Volume of cylinder = πr2h
= 22 / 7 x 14 x 14 x 42 = 25872 cm3
1000 cm3 = 1 litre
Therefore, the capacity of cylinder = 25872 / 1000 = 25.872 litres
Check the option that is divisible by 11 since it is a factor of pie. 25.872 litres is the only option that is divisible by 11.