GCSE Maths Practice: 3d-shapes-and-nets

Question 3 of 10

Calculate the volume of a cylinder with given radius and height.

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\( \begin{array}{l}\text{Find the approximate volume of a cylinder with radius } 5\,\text{cm} \text{ and height } 4\,\text{cm}.\\ \text{Use } \pi \approx 3.14.\end{array} \)

Choose one option:

Square the radius first, multiply by height, then by π.

The volume of a cylinder is given by \(V = \pi r^2 h\). Here, radius r = 5 cm, height h = 4 cm, so \(V = 3.14 \times 25 \times 4 = 314\,\text{cm}^3\). This formula is widely used for tanks, cans, and cylindrical objects. Visualizing the cylinder as stacked circles helps understand the formula. Always square the radius first, then multiply by height and π. Practicing multiple examples with different dimensions builds confidence in volumetric calculations.