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

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

A Level

Chernobyl is the site of a nuclear disaster that happened in 1986. Due to the slow decay of radioactive elements, the site is still

A Level

The emissions of a city from 2000 to 2012 are modelled by the equation (pleft( t right) = frac{1}{10}lnleft( t + 1 right) –

A Level

An ocean current separates into 2 different currents at a small island that can be modelled as the origin. Current A heads due south