What are the volume and surface area formulas for a sphere and a cylinder?
Answered on : 2024-01-23
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1. **Sphere:**
- Volume: \(V = \frac{4}{3}\pi r3\) (2)
- Surface Area: \(S = 4\pi r2\) (2)
2. **Cylinder:**
- Volume: \(V = \pi r2h\) (where \(r\) is the radius and \(h\) is the height) (3)
- Surface Area: \(S = 2\pi r2 + 2\pi rh\) (3)
These formulas are essential for calculating the volume and surface area of spheres and cylinders. For additional insights, Archimedes' proof relating the sphere's volume to the difference in volumes between the sphere and its circumscribed cylinder is an interesting historical aspect (6).
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