Question

Scott's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that

have a radius of 6 in. If copper costs $0.75 per in, how much will the copper cost to make one ball?
Use 3.14 for I, and do not round your answer.

Answer 1

The total cost to make one copper ball with a radius of 6 inches is $678.24, calculated by first determining the volume of the sphere (904.32 cubic inches) and then multiplying by the cost per cubic inch ($0.75).

Step-by-step explanation:

To calculate the cost of the copper needed to make one spherical ball with a radius of 6 inches, we first need to find the volume of the sphere using the formula for volume: V = ¾πr³. With r being the radius (6 inches) and π approximately 3.14, we get:

V = ¾×3.14×6³ = 4×3.14×216 = 904.32 cubic inches.

The cost of copper per cubic inch is $0.75, so the total cost will be:

Cost = Volume × Cost per Cubic Inch = 904.32 × $0.75 = $678.24

The copper cost to make one ball is therefore $678.24.

Answer 2

Explanation is in a file