Mathematics 4024 · O Level · Surface area and volume
Surface area and volume — practice question
The volume of a sphere is $\frac{4}{3}\pi r^3$. In a storm, raindrops collect inside a cylinder that is standing on level ground. Before the storm began, the cylinder contained no water. The cylinder has radius $20\text{ mm}$. Each raindrop is a sphere with radius $2\text{ mm}$. When the storm has ended, the water depth in the cylinder is $16\text{ mm}$.
(main)[3]
Calculate how many raindrops fell into the cylinder.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “600” …