The radius of a silver ball is 13.45 cm, and its density is 10.49 g/cm3. What is the mass of the ball in grams? Assume the ball is a sphere with a Volume = 4/3 π r3.

Question

The radius of a silver ball is 13.45 cm, and its density is 10.49 g/cm³. What is the mass of the ball in grams? Assume the ball is a sphere with a Volume = 4/3 π r³.

Answer 1

density = mass / volume

density = 10.49 g / cm³

mass = ?

volume = 4/3 πr³ = 4/3(3.1416)(13.45)³ = 10,192 cm³

Solving for mass, we have ...

mass = density x volume

mass = 10.49 g / cm³ x 10,192 cm³ = 106,900 g (4 sig. figs.)