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What is an example for the volume of a cylinder?
The volume of a cylinder (several actually) is important in respect to car engines. A 2 litre engine has cylinders that together create a volume of 2 litres.
How to show that the rate of change of the volume of a cube with respect to the length of its edges is equal to have the surface area of the cube?
If the length of an edge is x, the volume is x3 To find the rate of change of the volume with respect to x, differentiate: d(x3)/dx = 3x2 The area of one face is x2 There are six faces so the total surface area is 6x2 Therefore the rate of change of volume, 3x2 , is half of 6x2 , the surface area.
What do base units always have the volume of?
Base units need not have ANY volume. A second is the base unit for measuring time and it has no volume!
Relate distance velocity acceleration using derivatives with respect to time?
I'm not sure about the respect to time, but the equation for velocity is the first derivative of the equation of time (w/ respect to distance) and acceleration is the second derivative. I'm sorry, I don't think I properly answered your question, but this information should be correct. . :)
How do you work out the length width and height if all equal sides and you have the volume?
Use the volume formula length time width time height
