GCSE Maths Practice: volume

Question 8 of 10

This question identifies which solid has a volume formula involving 4/3 × π × r^3.

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\( \begin{array}{l}\text{Which solid has a volume formula involving 4/3 × π × r^3?}\end{array} \)

Choose one option:

\( \text{Sphere} \) \( \text{Cylinder} \) \( \text{Cone} \) \( \text{Cuboid} \)

Cube the radius, multiply by 4/3, include π for a sphere.

The formula for the volume of a sphere is V = 4/3 × π × r^3, where r is the radius. For example, a sphere of radius 5 cm has volume 4/3 × π × 125 = 500/3 π cm^3. Understanding spheres and their volumes is important for planets, balls, and containers. Practice visualising the 3D object to associate it with the formula. Remember to cube the radius, multiply by 4/3, and include π.