This key facts covers Key Formulas (GIVEN IN EXAM) within Volume & Surface Area of Spheres for GCSE Mathematics. Revise Volume & Surface Area of Spheres in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 4 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.
Key Formulas (GIVEN IN EXAM)
| Volume | V = (4/3)πr³ |
| Surface Area | SA = 4πr² |
| Hemisphere Volume | (1/2) × (4/3)πr³ = (2/3)πr³ |
| Hemisphere SA | (1/2) × 4πr² + πr² = 3πr² (curved + flat) |
Practice questions for Volume & Surface Area of Spheres
What is the formula for the volume of a sphere with radius r?
Explain why the total surface area of a solid hemisphere with radius r is 3πr². You must refer to both parts of the surface.
Quick recall flashcards
Volume of Sphere
V = (4/3)πr³
Sphere Formulas
Volume = (4/3)πr³. Surface Area = 4πr². Both formulas given in exam - you just need to apply them!