Geometry Problem Solver

Sphere and pyramid together

pyramid	sphere

Sphere alone

Pyramid alone

They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples. Only the problems already tested are reported. In fact, the problems solved by the geometric computer, but not tested, with a sphere and pyramid together, are about 2 x 9 problems on sphere x 200 problems on pyramid = 3,600

Track 1

A quadrangular pyramid has a base edge of 20 cm and a height of 24 cm. Calculates the volume of a sphere having the total area congruent to the base area of the pyramid.

Track 2

A rhomboid pyramid has diagonals respectively of 48 cm and 36 cm ; Has a height of 24 cm. Calculates the radius of a congruent sphere at the pyramid.

Track 3

A rhomboid pyramid has diagonals respectively of 48 cm and 36 cm ; Has a height of 24 cm. Calculates the radius of a congruent sphere at 2/3 of the pyramid.

Track 4

A sphere has a volume of 36 π cm³. Calculates the volume of a rhomboid pyramid having the base diagonals respectively of 48 cm and 36 cm, and has the congruent height to the sphere diameter.

Track 5

A sphere has a volume of 36 π cm³. Calculates the volume of a rhomboid pyramid having the base diagonals respectively of 48 cm and 36 cm, and has a congruent height to 2/3 of the sphere diameter.

Track 6

A sphere has a volume of 36 π cm³. Calculates the volume of a rhomboid pyramid having the base diagonals respectively of 30 cm and 40 cm and has the apothem congruent to 10/3 of the sphere diameter.

Sphere alone

Pyramid alone