GCSE Maths Practice: volume

Question 5 of 10

This question asks you to calculate the volume of a sphere given its radius.

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\( \begin{array}{l}\text{Find the volume of a sphere with radius 5 cm, giving your answer in terms of π.}\end{array} \)

Choose one option:

Cube the radius first, multiply by 4/3, include π. Always use cm^3.

To calculate the volume of a sphere, use the formula V = 4/3 × π × r^3. Here, the radius r = 5 cm. Cube the radius: 5^3 = 125. Multiply by 4/3 and then by π to get V = 4/3 × π × 125 = 500/3 π cm^3. Spheres are perfectly round 3D objects and occur in many real-life examples such as balls, planets, and containers. Understanding this formula is essential for solving geometry problems and applying volume concepts in physics or engineering. Visualizing the sphere and its dimensions helps in grasping how volume grows cubically with the radius. Always include π in your answer if asked for terms of π and write the units as cubic centimeters.