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Is the volume of a cylinder the same as the surface area of a cylinder?
Wiki User
∙ 11y ago
no
Wiki User
∙ 11y ago
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How are volume and surface area the same when volume stays the same?
There is no reason for the surface area to remain the same even if the volume is the same.
How would you find the surface area of a cylinder with circle bored out of it?
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.
What was Archimedes discovery about sphere and cylinder?
He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
How do you get the formula of an open cylinder from the surface area of a cylinder?
The question does not specify what the required formula is for: the volume of an open cylinder, height, radius, surface area, etc. Furthermore, information on the total surface area of a cylinder will not provide sufficient information. A short wide cylinder can have the same surface area as a tall thin one. For example, radius 5 cm and height 4 cm or radius 4 cm and height 7.5 cm or radius 3 cm and height 12 cm or radius 2 cm and height 20.5 cm etc all have the same total surface area. But in each case the value of the other measure, for the open cylinder will be different.
What is the formula of area of cone?
The volume of a cone is one third the volume of a cylinder of the same height. The volume of a cylinder is πr2h, so the volume of a cone is 1/3πr2h.
What kind of prism has the biggest volume if they have the same surface area?
A cylinder.
How are volume and surface area the same when volume stays the same?
There is no reason for the surface area to remain the same even if the volume is the same.
Do figures with the same volume always have the same surface area?
figures with the same volume does not have the same surface area.
Who introduced the formula of cylinder?
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.
Does the diameter surface area and circumference affect the heat loss?
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
How would you find the surface area of a cylinder with circle bored out of it?
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.
Do cubes have the same volume and surface area?
Yes Volume: Is the amount it takes to build it. Surface Area: Is how much is on the surface.
Can two rectangular prisms have the same surface area but different volume?
Yes, they can. They can also have the same surface area, but different volume.
Can a cone and a cylinder have the same surface area?
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.
The volume of a cone compared to the volume of a cylinder?
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.
What is the ratio of surface area to volume for a sphere with surface area and volume m?
If they have the same radius then it is: 3 to 2
What happens to the cylinder's surface area if its radius is squared?
It remains the same or increases in surface area.
