Question

Keisha collects vintage glass marbles. Her favorite marbles have a diameter of 2.5 centimeters each. She keeps 66 of her favorite marbles in a pouch. One cubic centimeter of glass has a mass of 2.6 grams. What is the mass of the marbles in Keisha’s pouch rounded to the nearest gram? Use 3.14 for π

Answer 1

The volume of one marble can be calculated as follows:

V = (4/3) * π * (r^3)

where r = 1.25 cm (diameter of 2.5 cm divided by 2)

V = (4/3) * 3.14 * (1.25^3) = 5.20 cm^3

The mass of one marble is then:

m = V * 2.6 g/cm^3 = 13.52 g

And the total mass of 66 marbles is:

m = 66 * 13.52 g = 888.32 g

Rounding to the nearest gram, the total mass of the marbles in Keisha's pouch is 888 g.