Question

manuels company makes solid balls out of scrap metal for various industrial uses. for one project, he must make lead balls that have a radius of 7.5 in, if lead costs $0.36 per in³, how much will the lead cost to make one ball? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate volume of sphere

Volume formula: $V = \frac{4}{3}\pi r^3$. Substitute $r=7.5$, $\pi=3.14$:
$V = \frac{4}{3} \times 3.14 \times (7.5)^3 = \frac{4}{3} \times 3.14 \times 421.875 = 1766.25$ in³.

Step2: Compute total cost

Cost = Volume × cost per in³:
$1766.25 \times 0.36 = 635.85$.

Answer:

635.85