Question

Ivan's company makes solid spherical balls out of scrap metal for various industrial uses. A large order just came in to make lead balls with a radius of 3in. If Ivan uses, on average, 28,260in3 of lead each day making these balls, how many balls does he make, on average, each day?

If necessary, refer to the list of geometry formulas.
For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth.


balls

Answer 1

Answer: To find the number of balls Ivan makes each day, we need to divide the total volume of lead used each day by the volume of one ball.

The formula for the volume of a sphere is:

V = (4/3) * π * r^3

Where V is the volume, π is pi and r is the radius of the sphere.

We know the radius of the sphere is 3 inches so we can use this information to find the volume of one ball.

V = (4/3) * π * 3^3

V = (4/3) * π * 27

V = 36 * π

Now we know the volume of one ball is 36π cubic inches, we can divide the total volume of lead used per day by the volume of one ball to find the number of balls made per day.

28,260 in^3 / 36π in^3/ball = 785.833 balls/day

Rounding to the nearest hundredth, Ivan on average makes 785.83 balls/day.

Explanation: