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
Chocolate is made from a crop called cocoa, which grows on a tree. Cocoa trees are vulnerable to extreme weather events such as floods
GCSE
Climate change can lead to species extinction through changing habitats rapidly, not leaving the species time to adapt. Warming at the moment is at
GCSE
The graph from the IPBES Global Assessment Report on Biodiversity and Ecosystem Services shows 3 different scenarios for how we could reduce biodiversity loss
GCSE
The increasing global temperature due to human-induced climate change is causing ice in the Arctic to melt, particularly over the summer season, July to
BACK TO TOP