Wooden and aluminum balls have the same mass. what is the volume of a wooden ball if the volume

Wooden and aluminum balls have the same mass. what is the volume of a wooden ball if the volume of an aluminum ball is 6 cm ^ 3.

The mass of any of the balls can be calculated using the formula:

m = ρ * V.

Wooden ball weight:

m1 = ρ1 * V1, where ρ1 (wood density, choose medium density wood) = 650 kg / m3, V1 (required volume of the ball).

m2 = ρ2 * V2, where ρ2 (aluminum density, tabular value) = 2700 kg / m3, V2 (specified ball volume) = 6 cm3.

Since the masses of the balls are equal, the following relationship is true:

ρ1 * V1 = ρ2 * V2.

V1 = ρ2 * V2 / ρ1 = 2700 * 6/650 = 24.9 cm3.

Answer: The volume of a wooden ball is 24.9 cm3.