

1. If we assume that an air balloon is a sphere, then the volume of the balloon is:
V = (4/3) * π * R3
where R is the radius of the balloon. The volume might be a bit bigger if it bulges on
one side (near the nozzle, for example).
Hot-air balloons people use to fly have shapes quite different from a sphere.
If we assume the ballon is a cylinder, then the volume is
V = L * π * R2
where L is the length and R is the radius of a circular cross-section.
2. The surface area S (in square meters) of a hot air balloon is given by:
S(r) = 4 * π * r2 , where r is the radius of the balloon (in meters).
