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To find the smallest dimensions of a cylinder with a volume of 500 cm³, we can use the formula for the volume of a cylinder: ( V = \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. To minimize the surface area while maintaining a fixed volume, the optimal ratio is when the height equals twice the radius (i.e., ( h = 2r )). By solving these equations, we find that the smallest dimensions occur at a radius of approximately 5.42 cm and a height of about 10.84 cm.
What else can I help you with?
What is the largest and smallest volume your graduated cylinder can measure?
The answer depends on the cylinder.
How do you get volume of cylinder with no height?
this is not possible
What is the volume of a cylinder with the following dimension radius 6ft height 24ft?
A cylinder with a radius of 6 feet and a height of 24 feet has a volume of 2,714.34 cubic feet.
What dimension needs to be more precise in calculating the volume of a cylinder?
An error in measuring the radius (or diameter) of the cylinder has a greater effect on the accuracy of the volume calculation than an error in measuring the cylinder's length, since the volume is proportional to the square of the radius.
Can a cylinder never have the same volume as a cuboid?
Given a cuboid it is always possible to have a cylinder with the same volume.
What is the smallest volume measured in 50ml graduated cylinder?
The answer will depend on the quality of the graduation.
What is the least amount of liquid that can measure in a graduated cylinder?
The smallest amount of liquid that can be accurately measured in a graduated cylinder will depend on the smallest graduation markings on the cylinder. Generally, for most graduated cylinders, the smallest measurable volume is around 0.1 mL.
What is the first thing you have to determine when using a graduated cylinder?
The first thing you have to determine when using a graduated cylinder is the volume of liquid it can hold and the smallest volume increment it can measure. This helps ensure that you are using the appropriate graduated cylinder for your measurements and that you are able to read the volume accurately.
Why are bottles made in a cylinder shape?
Bottles are made to carry the most amount of liquid in the smallest volume. The best shape would be a cuboid but these have sharp corners, (Health & Safety), therefore the smallest shape which can hold the second most volume is a cylinder.
Volume of nitrous oxide in a 3.4 kg cylinder?
The volume of a gas in a cylinder depends on the pressure and temperature. Without that information, it is not possible to determine the volume of the nitrous oxide in the cylinder.
How are cylinders and circles alike?
A cylinder is a circle with an added dimension, height. Area of a circle is pi*r^2, and the volume of a cylinder is pi*r^2*h.
What is the smallest measurable volume of liquid a graduated cylinder can hold?
its millilitres
