GCSE Maths Practice: volume

Question 3 of 10

This question asks you to calculate the volume of a cone in terms of π.

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\( \begin{array}{l}\text{Find the volume of a cone with radius 3 cm and height 12 cm, in terms of π.}\end{array} \)

Choose one option:

Always square the radius first, multiply by height, then divide by 3.

Volume of a cone = 1/3 × π × r^2 × h. Here, r = 3 cm, h = 12 cm. V = 1/3 × π × 9 × 12 = 36π cm^3. Converting formula steps and using π in exact form is common in GCSE problems. Visualising the cone inside a cylinder helps understand why 1/3 is used. This formula applies to all right circular cones. Practice with different radii and heights to reinforce understanding.