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Volume of spheres (Cavalieri´s principle)

Volume of spheres (Cavalieri´s principle)

Calculating the volume of a sphere is possible using an appropriate cylinder and cone.

Matematika

Raktiniai žodžiai

Sferos tūris, Cavalieri principas, Kiekis skaičiavimas, kietieji, Sfera, Matematika

Susiję elementai

Vaizdai

Susiję elementai

Sphere

A sphere is the set of points which are all within the same distance from a given point in space.

Volume of spheres (demonstration)

The sum of the volume of the ´tetrahedrons´ gives an approximation of the volume of the sphere.

Perimeter, area, surface area and volume

This animation presents the formulas to calculate the perimeter and area of shapes as well as the surface area and volume of solids.

Physicists who changed the world

These great scientists had a tremendous impact on the advancement in physics.

Ratio of volumes of similar solids

This 3D scene explains the correlation between the ratio of similarity and the ratio of volume of geometric solids.

Surface area of spheres (demonstration)

The surface of a sphere consists of the set of points which are all at the same distance from a given point in space.

Geometric transformations – rotation

This animation demonstrates geometric rotation, a type of geometric transformation both in plane and space.

Solids of revolution

Rotating a geometric shape around a line within its geometric plane as an axis results in a solid of revolution.

Volume and surface area (exercise)

An exercise about the volume and surface area of solids generated from a ´base cube´.

Volume of a tetrahedron

To calculate the volume of a tetrahedron we start by calculating the volume of a prism.

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