The ratio between the radius of the base and height of a cylinder is 2 : 3. If its volume is 1617 cm3, find the total surface area of the cylinder.
Given,
Volume of cylinder = 1617 cm3
Let radius of cylinder = 2x cm
Let height of cylinder = 3x cm
= πr2h = 1617
= 
= x3 = 
= x = 3.5 cm
So radius = 2x = 2 ×3.5 = 7 cm
Height = 3x = 3×3.5 = 10.5 cm
∴ total surface area of cylinder = 2πr(h+r)
= 
2
3