Home » Maths for Planet Earth » Filling a Weather Balloon

Filling a Weather Balloon

Facebook
Twitter
Pinterest
Print

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

GCSE
One way of reducing carbon dioxide in the atmosphere and slowing global warming is to plant trees which absorb carbon dioxide from the atmosphere.
GCSE
Carbon capture and storage is method of removing carbon dioxide from the atmosphere and storing it as a liquid underground. Carbon capture and storage
A Level
2 weather-monitoring satellites orbit the earth. One is in a circular orbit C₁, the other orbits in an extreme ellipse, C₂ so that it can
A Level
A hurricane is heading from the Atlantic Ocean to Miami, Florida. If the centre of the hurricane goes within a 50 kilometre radius of
BACK TO TOP