Volume of sphere with radius 3
Step-by-step solution with detailed explanations
Final Answer
36π ≈ 113.1
Step-by-Step Solution
1
Formula
V = (4/3)πr³
2
Calculate r³
3³ = 27
3
Multiply
(4/3)(27)π = 36π
Expert Insights
Why 4/3?: Derived from calculus (integration)
Comparison: Sphere volume = 2/3 of cylinder with same r and h=2r
Pro Tip: Sphere = (4/3)πr³, memorize the coefficient