Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
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
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.