A sphere with a radius of 2 inches weighs 4.40 pounds. How much does a sphere with a radius of 3 inches weigh?

Solve for volume

volume of sphere=4/3 times pi tiemes radius^3

radius=2

subsitute

volume=4/3 times pi times 2^3

volume=4/3 times pi times 8

volume=32/3 times pi

to keep the exactness of the number, keep it like that and don't aprox pi to 3.14

also fid the volume of the 3 inch spheree

4/3 times pi times 3^3

4/3 times pi times 27

108/3 times pi

36pi

so the ratio is

32/3pi to 4.40=36pi to x

make fraction

(32/3pi) / 4.4 = (36pi) / x

multiply both sides by x

(32/3pix) / 4.4 = (36pi)

multiply both sides by 4.4 to clear fraction

32/3pix=158.4pi

multiply both sides by 3/32

pix=475.2/32pi

simplify

pix=14.85pi

divide both sides by pi

x=14.85

answer is 14.85 pounds