Home » Maths for Planet Earth » Filling a Weather Balloon

Filling a Weather Balloon


The height (h km) that a weather balloon can reach is related to the volume (v m₃) of helium in it at sea level by the equation:

\[h = \frac{8v^{2}}{5} – \frac{32v^{3}}{255}\ ,\ v \leq 12\]

a) Find the volume of helium required to achieve the maximum height and state this height.

[5 marks]

Start exploring

Latest from blog

More Maths for Planet Earth

The graph shows satellite measurements of global sea level rise since 2000 plotted relative to 1993. (sea level rise measured in mm = millimetres)
Below is a diagram of 3 offshore wind turbines, A, B and C, in a wind farm, as seen from above. Given that the
A Level
Human-induced global warming is causing deserts such as the Sahara to increase in surface area. In 1950 the area of the Sahara Desert was
A Level
A country decides to subsidise the purchase of electric vehicles, causing more people to buy them. Initially, the country used an equivalent of 56