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Abdul'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 6in. If copper costs $0.75 per in3, how much will the copper cost to make one ball?Use 3.14 for π, and do not round your answer.

Question

Abdul'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 6in. If copper costs $0.75 per in3, how much will the copper cost to make one ball?Use 3.14 for π, and do not round your answer.

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Solution

To solve this problem, we first need to find the volume of the ball. The formula for the volume of a sphere is 4/3πr³.

Step 1: Substitute the given radius into the formula. Volume = 4/3 * π * (6in)³

Step 2: Calculate the volume. Volume = 4/3 * 3.14 * 216in³ Volume = 904.32in³

Now that we have the volume of the ball, we can find out how much the copper will cost.

Step 3: Multiply the volume by the cost of copper per cubic inch. Cost = Volume * Cost per in³ Cost = 904.32in³ * $0.75/in³

Step 4: Calculate the cost. Cost = $678.24

So, the copper will cost $678.24 to make one ball.

This problem has been solved

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