anonymous
  • anonymous
What are the dimensions and volume of the largest cylinder that can be placed inside a box that has dimensions 14 in by 7 in by 2 in?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
radar
  • radar
I see a box 2x7 that is 14 in long. The cylinder can not have a diameter more than 2", thus radius is 1 the area of this cylinder end is A=pi r squared, or pi. The volume is 14 pi cu inches. 43.98 cu inches. Cylinder is 14 in long with radius of 1 inch.
radar
  • radar
There would be other configurations possible, for example the box could be 14x7 2 inches long, then the diameter of the cylinder could not exceed 7 inches or a radius of 3.5 in. The volume of the cylinder = pi(3.5)^2*2=76.9 cu in. The cylinder is 2 in. long with radius of 3.5 in. Volume of 76.9 cu in. Looks like this is the best answer as it is larger volume.

Looking for something else?

Not the answer you are looking for? Search for more explanations.