Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71
<h3><u>Solution:</u></h3>Given that
Goran's company makes solid balls out of scrap metal for various industrial uses.
For one project, he must make aluminum balls that have a radius of 7.5 inches.
Cost of aluminum = $0.12 per cubic inches
Need to determine cost of aluminum to make one ball.
Lets first calculate the volume of one ball
As shape of the ball is sphere , we can use volume of sphere formula
Where "r" is the raius of ball
Given that radius of required ball = 7.5 inches
So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches
Cost of aluminum for 1 cubic inch = $0.12
<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>