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Geometry & MeasuresIntroduction

The Perfect 3D Shape

Part of Volume & Surface Area of Spheres — GCSE Mathematics

This introduction covers The Perfect 3D Shape 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 1 of 3 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 3

Practice

12 questions

Recall

3 flashcards

The Perfect 3D Shape

Every point on a sphere is the same distance from the centre - making it the most efficient shape for holding volume. That's why soap bubbles are spheres! These formulas are given in your exam, but you need to know how to USE them.

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.

Key Formulas (GIVEN IN EXAM)Worked Example: Sphere Volume

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

Sphere Formulas
Volume = (4/3)πr³. Surface Area = 4πr². Both formulas given in exam - you just need to apply them!
Volume of Sphere
V = (4/3)πr³

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Key Formulas (GIVEN IN EXAM)