A spherical soap bubble lands on a horizontal wet surface and forms a hemisphere of the same volume. Given the radius of the hemisphere is 3 cm, find the radius of the original bubble.
Volume of the hemisphere =
(1/2) (4/3) pi ( 3)^3 = 18 pi cm^3
To find the radius of the original bubble
18 pi = ( 4/3) pi ( r)^3
18 ( 3/4) = r^3
(27/2) = r^3
cube root ( 27 / 2) = r = 3 / cube root 2 cm ≈ 2.38 cm