Geometry

Question Analysis:
This question involves understanding how changing the radius of a cylinder affects its volume.
The main focus is on recognizing the squared relationship between radius and volume.

Key Concept Explanation:
The volume of a cylinder is: V = πr²h

Step-by-Step Solution:
Original volume: V = πr²h
New radius = 3r → V = π(3r)²h = π × 9r² × h = 9πr²h
So the volume increases by a factor of 9.

Common Mistakes:
Forgetting to square the radius
Mult...