Geometry Problem Solver

Sphere and cylinder together

cylinder	sphere

Sphere alone

Cylinder 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 cylinder together, are about 2 x 9 problems on sphere x 80 problems on cylinder = 1,440

Track 1

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the radius of a congruent sphere to the cylinder.

Track 2

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the diameter of a congruent sphere to the cylinder.

Track 3

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the diameter of a congruent sphere at 1/4 of the cylinder.

Track 4

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the volume of a sphere having the congruent total area to 3/4 of the cylinder lateral area.

Track 5

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the volume of a sphere having the congruent radius to 3/5 of the cylinder height.

Track 6

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

Track 7

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the volume of a sphere having the total area congruent to the lateral area of the cylinder.

Track 8

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

Track 9

A sphere has a volume of 36 π cm³. Calculates the height of a congruent cylinder at 3/2 of the sphere and having the base area congruent to 3/4 of the total area of the sphere.

Sphere alone

Cylinder alone