Geometry Problem Solver

Sphere and cone together

cone	sphere

Sphere alone

Cone 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 cone together, are about 2 x 9 problems on sphere x 80 problems on cone = 1,440

Track 1

The base circumference of a cone measures 36 π cm and the total area of the cone is 864 π cm². Calculates the radius of a sphere equivalent to the cone.

Track 2

The base circumference of a cone measures 36 π cm and the total area of the cone is 864 π cm². Calculates the diameter of a sphere equivalent to 3/4 of the cone.

Track 3

The base circumference of a cone measures 36 π cm and the total area of the cone is 864 π cm². Calculates the volume of a sphere having a congruent radius to 3/4 of the height of the cone.

Track 4

The base circumference of a cone measures 36 π cm and the total area of the cone is 864 π cm². Calculates the volume of a sphere having the congruent radius at the height of the cone.

Track 5

The base circumference of a cone measures 36 π cm and the total area of the cone is 864 π cm². Calculates the volume of a sphere having the congruent radius to the cone apothem.

Track 6

The base circumference of a cone measures 36 π cm and the total area of the cone is 864 π cm². Calculates the volume of a sphere having the congruent radius to 3/5 of the cone apothem.

Track 7

A sphere has a volume of 36 π cm³. Calculates the height of a cone congruent to the sphere and having the base circumference equal to 10/3 of the sphere radius.

Track 8

A sphere has a volume of 36 π cm³. Calculates the height of a cone congruent to the sphere and having the basic circumference equal to the diameter of the sphere.

Track 9

A sphere has a volume of 36 π cm³. Calculates the height of a cone congruent to the sphere and having the base circumference equal to the radius of the sphere.

Sphere alone

Cone alone