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Geometry & MeasuresStudy Notes

Worked Example: Cone Volume

Part of Volume of Pyramids & Cones — GCSE Mathematics

This study notes covers Worked Example: Cone Volume within Volume of Pyramids & Cones for GCSE Mathematics. Revise Volume of Pyramids & Cones in Geometry & Measures for GCSE Mathematics with 10 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 4 of 4 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 4 of 4

Practice

10 questions

Recall

3 flashcards

Worked Example: Cone Volume

Find the volume of a cone with radius 3cm and height 7cm.

Solution

V = (1/3) × πr²h

V = (1/3) × π × 3² × 7

V = (1/3) × π × 9 × 7 = 21π

= 65.97 cm³ (2 d.p.)

Keep building this topic

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

MethodThe 1/3 RuleKey Formulas

Practice Questions for Volume of Pyramids & Cones

What is the formula for the volume of a cone with base radius r and height h?

  • A. πr²h
  • B. (1/3)πr²h
  • C. (1/2)πr²h
  • D. (2/3)πr³
1 markfoundation

Explain why the volume of a cone is one third of the volume of a cylinder with the same base and height.

2 markshigher

Quick Recall Flashcards

Volume of Cone
⅓ × πr² × h
The 1/3 Rule
Pyramids and cones are both 1/3 of their matching prism/cylinder. V = (1/3) × base area × height

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Volume of Pyramids & Cones