A spherical weather balloon is being inflated by a pump. Its volume is rising at a constant rate of $600\,\text{cm}^3$ per second. At the start of pumping, the balloon was empty.
(a)[2]
Find the balloon's radius after $30$ seconds.
(b)[3]
Find the rate at which the radius is increasing after $30$ seconds.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply $\frac{4}{3}\pi r^3=18000$” …