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How can two cylinders have the same surface area but different volume?
Change in height and circumference
If you double the volume of a rectangular prism does its surface area double?
No.
Do figures with the same volume always have the same surface area?
figures with the same volume does not have the same surface area.
Are cylinders cubed?
The volume of cylinders are measured in cubic units.
What happens to the surface area and volume when the height of a three-dimensional solid is doubled?
The change in the surface area depends on the shape. The volume will double.
Is integration a way of calculating the volume of the same function equation with an additional dimension or is it always completely new volume rotated about an axis ie a circle to a sphere?
Geometrically the definite integral from a to b is the area under the curve and the double integral is the volume under the surface. So just taking the integral of a function does not yield the volume of the solid made by rotating it around an axis. An integral is only a solid of revolution if you take an infinite sum of infinitesimally small cylinders that is the disk method or you do the same with shells.
Why should volume measures always be placed on a level surface?
When measuring volumes you should always measure from the bottom of the meniscus - the surface of a volume of liquid always has a slight curve called the 'meniscus'. Since the surface of any still volume of water is not flat (it is always either a convex or concave curve), it should be measured on a level surface at eye level - bend your knees until your eyes are level with the miniscus to measure accurately.
What precaution did you have to take when reading the volume of the liquid at its surface?
be careful always in reading.
What is the crescent shaped surface of liquid that forms in Popeyes and graduated cylinders?
The crescent-shaped surface of liquid that forms in Popeyes and graduated cylinders is called a meniscus. It occurs due to surface tension and adhesion forces between the liquid and container, causing the liquid to either curve up or down at the edges. When reading volumes in graduated cylinders, it is important to view the measurement at eye level to accurately determine the volume.
Why is it important to maximize the surface area to volume ratio?
It is not always the case. If you are out in the cold with insufficient clothing, the important thing - to prevent hypothermia - is to MINIMISE the surface to volume ratio.
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
What is the volume of a piston engine cylinders?
Displacement
