Geometry

Question Analysis:
This problem involves using algebraic relationships in geometric formulas.
The main focus is on setting up and solving an equation for the radius.

Key Concept Explanation:
Total Surface Area formula with height expressed in terms of radius:
Given h = 2r
TSA = 2πr(h + r) = 2πr(2r + r) = 6πr²

Step-by-Step Solution:
Substitute h = 2r into TSA formula:
150π = 6πr²
Divide both sides by 6π:
r² = 25
Solve for r:
r = 5

Common Mistakes:
Forgetting to square ...