Geometry & MeasuresKey Facts

Key Formulas (GIVEN IN EXAM)

Part of Volume & Surface Area of SpheresGCSE Mathematics

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 3 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 3

Practice

12 questions

Recall

3 flashcards

Key Formulas (GIVEN IN EXAM)

VolumeV = (4/3)πr³
Surface AreaSA = 4πr²
Hemisphere Volume(1/2) × (4/3)πr³ = (2/3)πr³
Hemisphere SA(1/2) × 4πr² + πr² = 3πr² (curved + flat)

Keep building this topic

Read this section alongside the surrounding pages in Volume & Surface Area of Spheres. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Volume & Surface Area of Spheres

What is the formula for the volume of a sphere with radius r?

  • A. 4πr²
  • B. (4/3)πr²
  • C. (4/3)πr³
  • D. (2/3)πr³
1 markfoundation

Explain why the total surface area of a solid hemisphere with radius r is 3πr². You must refer to both parts of the surface.

3 markshigher

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!

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