A sphere has a radius of 3 cm - OCR - GCSE Maths - Question 19 - 2023 - Paper 2

To find the volume $V$ of a sphere, we use the formula: $V = \frac{4}{3} \pi r^3$

Given that the radius $r$ is 3 cm, we substitute: $V = \frac{4}{3} \pi (3)^3$

Calculating the radius cubed: $(3)^3 = 27$

Now substituting back into the formula: $V = \frac{4}{3} \pi \cdot 27$

Simplifying, we have: $V = \frac{108}{3} \pi = 36\pi$

Thus, the volume of the sphere is: $V = 36\pi \text{ cm}^3$