0
Add your answer:
Earn +20 pts
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.
What is the water volume of a 4 inches by 4 ft cylinder?
A cylinder with these dimensions has a volume of about 2.61 US gallons of water.
What happens to the volume of a cylinder if the dimensions are tripled?
The volume goes up by 9 times
How does the volume change if the radius is tripled?
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
The volume of a cylinder increased by 8 times the original volume How many times greater are each of the dimensions of that new cylinder?
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.
How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?
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.
What are the dimensions for a shape with the volume of 51.2?
To determine the dimensions of a shape with a volume of 51.2, you would need more information about the specific shape. The volume of a shape is calculated differently based on whether it is a cube, sphere, cylinder, etc. Once you know the type of shape, you can use the appropriate formula to find the dimensions.
What are the dimensions of a 1000 barrel tank?
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.
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.
Why are there two different formulas for calculating a cylinder and a sphere?
Cylinders and spheres are different geometric shapes with different properties. The formulas for calculating their volume and surface area reflect these differences in shape and dimensions. The formula for a cylinder involves multiplying the base area by the height, while the formula for a sphere involves powers of the radius to account for its spherical shape.
What Equation you would use to figure out the volume of liquid?
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
What is the volume of rubber stopper?
The volume of a rubber stopper can vary depending on its size and shape. To find the volume of a rubber stopper, you can use the formula for the volume of a cylinder or sphere, depending on the shape of the stopper. Measure the dimensions of the stopper and plug them into the appropriate formula to calculate the volume.
How many dimensions define a volume?
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
Which cylinder has a greater volume?
That of course will depend on their dimensions of which none have been given
What is the water volume of a 4 inches by 4 ft cylinder?
A cylinder with these dimensions has a volume of about 2.61 US gallons of water.
What happens to the volume of a cylinder if the dimensions are tripled?
The volume goes up by 9 times
How do you find the Volume of a Silo?
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.
