It depends on many things, but if you're going by the equatorial radius as the same size, the balloon should be about 10-15% larger. Note that you can mesure the volume of irregular shapes, thanks to my good friend Archemedes ("Eurika!"). Take a mesuring container large enough to easily hold the balloon and fill it about 2/3 full. Note the volume the water occupies by the water level. Now, immerse the balloon in the water and mesure the volume by the water level again. the difference is the volume of the balloon.
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Let the radius of the sphere be r. surface area of the sphere = 4 * pi * r^2 volume = (4 * pi * r^3)/3
-- Find the volume of a sphere with radius = 1.56 -- Find the volume of a sphere with radius = 1.61 -- The uncertainty is the difference between the bigger result and the smaller one. -- For the percent uncertainty, find out what percent that difference is of the (r = 1.56) volume. (Divide the difference of the two volumes by the volume you get with r=1.56 . Multiply the result of the division by 100, and you have the percent of uncertainty.) (Just knocking it out quickly on our calculator, we get about 9.93% uncertainty. This may or may not be correct, and you should not depend on it. But if you get the same answer, then we're probably both right.) Here's an important tool that you'll need to do this job: Volume of a sphere = 4/3 (pi) (radius)3
A sphere with a radius of 7cm has a volume of 1,436.76cm3
Volume of a sphere = 4/3*pi*radius3
The volume of this sphere is 113,097 cubic units.