GCSE Maths Practice: volume

Question 2 of 10

This question asks you to find the height of a cylinder given its volume and radius.

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\( \begin{array}{l}\text{A cylinder has volume 150π cm^3 and radius 5 cm. Find the height.}\end{array} \)

Choose one option:

Use V = πr^2h and isolate h. Check units carefully.

The volume of a cylinder is calculated using V = πr^2h. Here, the volume is 150π cm^3 and radius 5 cm. Substitute r = 5: 150π = π × 5^2 × h ⇒ 150π = 25π × h ⇒ h = 150π / 25π = 6 cm. Understanding how to rearrange formulas to find unknown dimensions is essential for solving real-world problems involving containers, pipes, or storage units. Always check units are consistent and that height is reasonable compared to radius.