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Q: Is the volume of a cylinder the same as the surface area of a cylinder?

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A cylinder.

There is no reason for the surface area to remain the same even if the volume is the same.

figures with the same volume does not have the same surface area.

A spectacular landmark in the history of mathematics was the discovery by Archimedes (287-212 B.C.) that the volume of a solid sphere is two- thirds the volume of the smallest cylinder that surrounds it, and that the surface area of the sphere is also two-thirds the total surface area of the same cylinder.

yes heat loss is affected by diameter, circumference and surface area. Heat loss depends on the surface area : volume ratio.......the larger this is the more heat is lost if a cylinder having the same volume but a different surface area...(therefre radius and circumference is different)........the cylinder having the larger surface area will loose heat fastest

Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.

Yes, they can. They can also have the same surface area, but different volume.

Of course they can. The cone would have to be taller or have a wider base than the cylinder, but they could very easily have the same surface area. A cone and a fish can have the same surface area.

If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.

If they have the same radius then it is: 3 to 2

It remains the same or increases in surface area.

Actually, answer 1 is for the volume, not the surface area. Aside from that, there are lots of ways to bore a hole in a cylinder. If it goes from one base (a flat face) to the other (or part of the way) parallel to the axis, answer 1 is correct (for the volume). If it is not parallel to the axis, or if it is bored from the curved surface of the cylinder, it is much more complicated. Assuming, as in answer 1, that the hole goes all the way from one base to the other parallel to the axis, to get the surface area you would add the surface area of the outer cylinder to that of the hole (just the curved surface portion), and then subtract the areas of the circular holes in the two bases, each of which is pi x the radius of the hole squared. I'm assuming you know how to calculate the surface area of a cylinder. This is the area of the curved surface, which is 2 x pi x the radius x the height, plus 2 x the area of each base, which is pi x the radius squared. ========================================================== Use the formula:- Volume of a cylinder = Pi X Radius squared X Length , to find the volume of a solid cylinder. Repeat the same calculation with the same formula, to find the Volume of the cylinder of fresh air within the cylinder . Subtract the fresh air Volume from the Solid Cylinder Volume. That will be your answer . Think about your problem, then it is dead easy.

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