Year 10 Interactive Maths - Second Edition

Volume of a Sphere

If four points on the surface of a sphere are joined to the centre of the sphere, then a pyramid of perpendicular height r is formed, as shown in the diagram. Consider the solid sphere to be built with a large number of such solid pyramids that have a very small base which represents a small portion of the surface area of a sphere.

Example 43

Find the volume of a sphere of radius 9.6 m, rounding your answer to two decimal places.

Solution: