A solid aluminum sphere has a mass of 80 g .Use the density of aluminum to find the radius of the sphere in inches. Express your answer using two significant figures.

Answer 1

The density of aluminum is 2.7 g/cm³

Use the formula density = mass / volume

2.7 = 80 / V

2.7V = 80

V = 29.63 cm³

The formula for volume of a sphere is V = 4/3 π r³

Using the volume found above:

29.63 = 4/3 π r³

22.22 = π r³

7.08 = r³

1.9 cm = r

convert to inches (1 inch = 2.54 cm), use two significant figures:

radius = .75 in