In addition, Archimedes proved that the volume of a sphere is two-thirds the volume of a circumscribed cylinder. He considered this proof his greatest accomplishment and even requested that a ...

Describes how Archimedes tried to estimate the number ... Assume that a grain of sand is basically a sphere, with a radius of 0.025 cm. The volume of a sphere can be found using the formula ...

Finally, Archimedes proved the volume of a sphere is two-thirds the volume of a circumscribed cylinder. He considered this his greatest accomplishment and asked that a representation of a sphere ...

Use the example of Archimedes and the method of exhaustion as a way of explaining that pi is nothing more than a particular ratio. Discuss the idea that volume of a sphere can be approximated by ...