Question

Can someone please help with chemistry? Lead has a density of 10.5 g/cm^3. What is the diameter of a lead ball that has a mass of 500.0g? Report your answer in cm.

Answer 1

Density = Mass / Volume

10.5 = 500 / x

10.5x = 500

x = 50 cm^3 (1 sig fig) volume of the sphere

Volume of a sphere = 4/3 pi r^2

pi = 3.14 r = radius

50 = 4/3 pi r^3

50•3/4 = pi r^3

37.5 = pi r^3

37.5/pi = r^3

11.9 = r^3

cube root(11.9) = r

2.3 = r

Diameter = 2•radius

Diameter = 2 • 2.3

Diameter = 5 cm (1 sig fig) diameter