The volume, V, of a soap bubble is related to its surface area, A. In cubic centimeters, this relationship is shown by the formula V = 0.094A 3/2. What is the surface area of a bubble with a volume of 5 cm3 ?
First let's rewrite the volume expression correctly: Â V = 0.094 * (A) ^ (3/2) Â Now we clear the area: Â (A) ^ (3/2) = V / 0.094 Â A = (V / 0.094) ^ (2/3) Â We now replace the volume: Â A = (5 / 0.094) ^ (2/3) Â A = 14.14364782 cm ^ 2 Â Answer: Â The surface area of a bubble with a volume of 5 cm3 is: Â A = 14.14364782 cm ^ 2
