Mathematics: Help no one is answering this if u answer I will give 100 points

Help no one is answering this if u answer I will

Ответ:

mvtthewisdead

07.07.2021

Mathematics

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:

$Volume=\pi *radius^{2}*height$

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:

$Volume=\pi radius^{2} height$

$\frac{Volume}{\pi radius^{2} }=height$

Now, substituting the given information, we have:

$height=\frac{288\pi in^{3}}{\pi (4in)^{2} }=\frac{288\pi in^{3}}{16\pi in^{2} }=18in$

Hence, we have that the correct answer is:

C. 18 inches.

Have a nice day!

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Help no one is answering this if u answer I will give 100 points

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