Answer:
Option C is the answer.
Step-by-step explanation:
A ball is painted ruby red and costs $100.00 to paint and Ruby red paint costs $0.50 per square inch.
This means for an area of \(4\pi r^{2}\), $100 were used. \(4\pi r^{2}\) because the ball is a sphere.
where r is the radius.
We know that , Area of ball * cost of paint per square inch = total cost of paint.
\(4\pi r^{2} \times0.5=100\)
\(2\pi r^{2}=100\)
\(r^{2}= \frac{100}{2\pi }\)
\(r^{2}=15.923\) ; \(r=3.99\) inch
Radius is 3.99 inches. or we can round this to 4 inches.
Hence, the diameter will be = \(2\times4=8\) inches.
Therefore, option C: 8 inches is the answer.
