WAEC Mathematics 2023 Paper

Concept:The volume of a sphere is calculated using the formula $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.Explanation:Given that the radius of the sphere is $r = 3\,\mathrm{cm}$.Substitute this value into the formula for the volume of a sphere:$V = \frac{4}{3}\pi (3)^3$Compute the cube of the radius: $(3)^3 = 27$.So, $V = \frac{4}{3}\pi \times 27$.Simplify the multiplication: $\frac{4}{3} \times 27 = 4 \times 9 = 36$.Thus, the volume becomes $V = 36\pi$.The unit is cubic centimetres, so the volume is $36\pi\,\mathrm{cm}^3$.Answer:$36\pi\,\mathrm{cm}^3$ (Option D).