Question

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 . If aluminum costs $0.12 per in³, how much will the aluminum cost to make one ball?
Use 3.14 for π , and do not round your answer.

Answer 1

Answer: $\ 211.95$

Step-by-step explanation:

For this exercise it is important to remember the following formula, which is used to calculate the volume of a sphere:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius of the sphere.

You know that the radius of one of those aluminum balls is:

$r=7.5\ in$

Then, subsituting this value into the formula and using $\pi =3.14$, you get that its volume is:

$V=\frac{4}{3}(3.14) (7.5\ in)^3\\\\V=1,766.25\ in^3$

Since $1\ in^3$ of aluminum costs $0.12, you need to multiply the volume calculated by $0.12 in order to find how much the aluminum will cost to make one ball. This is:

$(1,766.25\ in^3)(\ 0.12)=\ 211.95$