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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.
