x^3
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.
A cylinder with these dimensions has a volume of about 2.61 US gallons of water.
The volume goes up by 9 times
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
the dimensions of the cylinder would be 2 times greater. We just had a test on this stuff and this was one of the questions.
Volume can only be measured in 3 dimensions. This formula is used to find the space in a sphere, cone, cube, cylinder, prism, or other such object.
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
You can't tell the dimensions from knowing the volume. The tank could be in the shape of a cube, a long skinny box, a sphere, a teardrop, a cylinder standing up with flat top and bottom, a cylinder lying down with round ends, etc., and every shape would have different dimensions for a volume of 1,000 barrels.
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.
It depends on what information you have. If the liquid is stored in a container of which the dimensions are known, then you must calculate the volume of the container. You can simply search google for the formulae for the volume of a cube, cylinder, sphere etc. If the dimensions are not known, but the weight and density of the fluid is, then the volume can be calculated as: volume = weight (divided by) density
For a box, the dimensions the define a volume would be:Height, Width, and DepthFor a cylinder, the dimensions that define a volume would be:Height and Diameter
That of course will depend on their dimensions of which none have been given
A cylinder with these dimensions has a volume of about 2.61 US gallons of water.
The volume goes up by 9 times
To find the volume of a silo, you can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the silo base and h is the height of the silo. Measure these dimensions and plug them into the formula to calculate the volume.
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
the dimensions of the cylinder would be 2 times greater. We just had a test on this stuff and this was one of the questions.