Geometry Problem Solver

Cylinder and pyramid together

cylinder	pyramid

Cylinder 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 cylinder and pyramid together, are about 2 x 80 problems on cylinder x 200 problems on pyramid = 32,000

Track 1

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the volume of a rhomboid pyramid with a base area of 400 cm² and a height equal to 6/5 of the height of 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 height measure of a pyramid having a volume equal to 1/3 of the volume of the cylinder and the base area of 904.77792 cm².

Track 3

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the base area of a quadrangular pyramid equivalent to the cylinder and having a height equal to 2/9 of the cylinder diameter.

Track 4

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the base area of a quadrangular pyramid equivalent to the cylinder and having a height equal to twice the diameter of the cylinder.

Track 5

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the base area of a quadrangular pyramid equivalent to the cylinder and having the height equal to the cylinder radius.

Track 6

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the total area of a pyramid that has a rectangular triangle with a 336 cm² area and a 14 cm long cathetus, knowing that the height of the pyramid is equal to 5/3 of the height of the cylinder.

Track 7

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 2714.3338 cm². Calculates the volume of a pyramid having the same total cylinder area and as the base area equal to 13/15 of the cylinder base area.

Track 8

A quadrangular pyramid has a base edge of 20 cm and a height of 24 cm. Calculates the height of a cylinder congruent to the pyramid and having the basic circumference equal to 5/2 of the pyramid apothem.

Track 9

A pentagonal pyramid has a base edge of 20 cm and a height of 24 cm. Calculates the height of a cylinder congruent to the pyramid and having the basic circumference equal to 5/2 of the pyramid apothem.

Track 10

A rhomboid pyramid has long base diagonals respectively of 40 cm and 30 cm; Has a height of 16 cm. Calculates the height of a cylinder congruent to the pyramid and having the basic circumference equal to 5/2 of the pyramid apothem.

Track 11

A pyramid has as base a rectangular triangle with a 150 cm² area and a 15 cm lower cathetus; Has a height of 12 cm. Calculates the height of a cylinder congruent to the pyramid and having the basic circumference equal to 20/13 of the pyramid apothem.

Track 12

A pyramid has as base a rectangle, whose base dimensions are respectively of 24 cm and 18 cm; Has a height of 40 cm. Calculates the height of a cylinder congruent to the pyramid and having the base area equal to 2/3 of the base area of the pyramid.

Track 13

The basic circumference of a cylinder is 36 π cm and the total cylinder area is 864 π cm². Calculates the volume of a rhomboidal pyramid with a base area of 500 cm² and a height equal to 3/5 of the height of the cylinder.

Cylinder alone

Pyramid alone