Correct Answer - Option 3 : 2 ∶ 1
Given:
Height of cylinder = 3 × radius of cylinder
Concepts used:
CSA of cylinder = 2πrh
Volume of cylinder = πr2h
Calculation:
Let radius of cylinder be r units.
Height of cylinder = 3r units
CSA of cylinder = 2πr × 3r = 6πr2 units
Radius × CSA = r × 6πr2 = 6πr3 units
Volume of cylinder = πr2× (3r)
⇒ Volume of cylinder = 3πr3 units
Ratio = r × CSA of cylinder/Volume of cylinder
⇒ 6πr3 units/3πr3 units
⇒ 2 ∶ 1
∴ Ratio of product of radius and CSA of cylinder to volume of cylinder is 2 ∶ 1.
