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

Question 2 of 10

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

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\( \begin{array}{l}\text{Find the approximate volume of a cone with radius } 5\,\text{cm} \text{ and height } 8\,\text{cm}.\\ \text{Use } \pi \approx 3.14.\end{array} \)

Choose one option:

Compute r² × h first, then multiply by π/3.

The volume of a cone is calculated using \(V = \frac{1}{3} \pi r^2 h\). Plug in r = 5 cm and h = 8 cm to get \(V = \frac{1}{3} \times 3.14 \times 25 \times 8 = 209.3\,\text{cm}^3\). This formula helps in real-world applications like finding liquid capacity, designing funnels, or constructing conical structures. Practice substituting values and approximate π as needed. Visualizing the cone as a pyramid with a circular base aids understanding. Checking calculations step by step ensures accuracy.