Question

Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows that every cubic meter of helium is able to lift about 1 kilogram, and the package for the balloons that he bought says that every balloon can be inflated to a sphere with a radius of 0.4 meters. How many balloons would it take to fulfill Mr. Schordine’s dream of flight?

Answer 1

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:

`V = (4)/(3)\pi r^(3)`

Where:

r: is the radius = 0.4 meters

`V = (4)/(3)\pi r^(3) = (4)/(3)\pi (0.4 m)^(3) = 0.27 m^(3)`

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

`N = (1 m^(3))/(1 kg)*84 kg*(1 balloon)/(0.27 m^(3)) = 311.1 \: balloon`

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

I hope it helps you!