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 5 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and 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.)
Practice questions for Volume of Pyramids & Cones
What is the formula for the volume of a cone with base radius r and height h?
Explain why the volume of a cone is one third of the volume of a cylinder with the same base and height.