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Geometry & MeasuresStudy Notes

Worked Example: Sphere Volume

Part of Volume & Surface Area of Spheres — GCSE Mathematics

This study notes covers Worked Example: Sphere Volume 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 3 of 3 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 3

Practice

12 questions

Recall

3 flashcards

Worked Example: Sphere Volume

Find the volume of a sphere with radius 6cm.

Solution

V = (4/3)πr³

V = (4/3) × π × 6³

V = (4/3) × π × 216 = 288π

= 904.8 cm³ (1 d.p.)

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)The Perfect 3D Shape

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)

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Volume & Surface Area of Spheres