Q:

Does the shape of a volume affects the force applied on the object based on Archimede's principle

Does the shape of a volume affects the force applied on the object based on Archimede's principle?

Does the shape of the volume affects the force in any way. For instance, will a helium balloon that has an arrow shape would rise faster than a sphere, for a same volume?
If the Archimede's principle force is not affected by the shape. Would anything else affect the speed of ascent? Friction?

A:

Although the shape does not alter the magnitude of the force due to Archimede's principle, it determines where the center of mass of the object is. 

A counter-acting and distinct force is air resistance. This works against buoyancy, and can reduce acceleration. A more streamlined shape oriented upwards will rise faster.

Density of the object, which will include any gas it contains. Increasing the temperature of that gas reduces its density. Selecting light molecules, Hydrogen. Helium. If the density of the surrounding fluid or gas is higher it will rise faster.

