Question

A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it?

Answer 1

In this problem, you are asked to compute for the volume of the spherical paintball. The formula in computing the volume of the sphere is:

V = 4/3 (pi) r^2

Where r = the radius of the sphere

Since the given measurement is in diameter, you need to compute the radius of the sphere. The radius of the sphere is half its diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).

Substituting the radius to the formula and using 3.14 as the value of pi:

V = 4/3(3.14)(0.75)^2

V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic centimeter is equal to mL)

Therefore, there are approximately 2.36 mL of paint in the paintball.