GCSE Maths Practice: volume

Question 6 of 10

This question asks how the volume of a cone changes if its height is doubled.

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\( \begin{array}{l}\text{What happens to the volume of a cone if the height is doubled?}\end{array} \)

Choose one option:

When height changes, multiply volume proportionally. Keep radius constant.

The formula for the volume of a cone is V = 1/3 × π × r^2 × h. Notice the height h is directly multiplied. If the height doubles, the volume also doubles. For example, a cone with radius 3 cm and height 6 cm has volume V = 1/3 × π × 9 × 6 = 18π cm^3. Doubling height to 12 cm gives V = 1/3 × π × 9 × 12 = 36π cm^3, exactly twice. Understanding how each variable in a formula affects the result is essential for problem-solving. Practice by changing radius or height to see the effect on volume.