Hello!
The answer is:
The correct option is:
C. 18 inches.
Why?
To calculate the volume of a cylinder we need to use the formula:
[tex]Volume=\pi *radius^{2}*height[/tex]
We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:
[tex]Volume=\pi radius^{2} height[/tex]
[tex]\frac{Volume}{\pi radius^{2} }=height[/tex]
Now, substituting the given information, we have:
[tex]height=\frac{288\pi in^{3}}{\pi (4in)^{2} }=\frac{288\pi in^{3}}{16\pi in^{2} }=18in[/tex]
Hence, we have that the correct answer is:
C. 18 inches.
Have a nice day!
