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Sagot :
Using the volume of a cylinder, it is found that the approximate height of the container in inches is given by:
d. 15.48
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In this problem, Sam pours 3 gallons of water into a cylindrical container, and it will be 90% full. Hence, the volume, in cubic feet, is:
[tex]0.9V = \frac{3}{7.48}[/tex]
[tex]V = \frac{3}{0.9(7.48)}[/tex]
[tex]V = 0.4456[/tex]
The diameter of the container is 8 inches, hence the radius is of 4 inches = 0.3333 feet, considering a feet has 12 inches.
The height, in feet, will be given by:
[tex]V = \pi r^2h[/tex]
[tex]0.4456 = (0.3333)^2\pih[/tex]
[tex]h = \frac{0.4456}{(0.3333)^2\pi}[/tex]
[tex]h = 1.2768[/tex]
Considering a feet has 12 inches, in inches, the height will be of:
1.2768 x 12 = 15.48
Hence option D is correct.
You can learn more about the volume of a cylinder at https://brainly.com/question/9408912
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