Question

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

Answer 1

To estimate the amount of paint in a spherical paintball, we can calculate its volume. Using the formula V = (4/3)πR³ and plugging in the radius of the paintball, we find that there is approximately 1.767 cubic centimeters of paint in the paintball.

Step-by-step explanation:

To estimate the amount of paint in a spherical paintball, we need to calculate its volume. The volume of a sphere can be calculated using the formula V = (4/3)πR³, where R is the radius of the sphere.

In this case, the paintball has a diameter of 1.5 centimeters, so the radius is half of that, which is 0.75 centimeters. Plugging this value into the formula, we get V = (4/3)π(0.75 cm)³.

Calculating the volume, we find that the paintball has a volume of approximately 1.767 cubic centimeters. Therefore, there is approximately 1.767 cubic centimeters of paint in the paintball.

Answer 2

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.