The ratio between the radius of the base and the height of a cylinder is 2 : 3. Find the total surface area of the cylinder, it its volume is 1617 cm3.
Given,
= 
Volume of cylinder = 1617 cm3
Let radius = 2x cm and height = 3x cm
So, volume of cylinder = πr2h = 
= 
= x =
Radius of cylinder = 2x = 2×3.5 = 7 cm
Height of cylinder = 3x = 3×3.5 = 10.5 cm
Hence , total surface area of cylinder = 2πr(h+r) = 
13