Volume + Pythagorean theorem - math problems
Number of problems found: 152
- The volume
The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone.
- Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
- Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball?
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
Calculate height and volume of a regular tetrahedron whose edge has a length 6 cm.
- Volume of the cone
Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
- Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
- Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone?
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
- Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
- Hexagonal pyramid
The base of the pyramid is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
- Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
- Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
- Body diagonal
Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
- Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. Body diagonal is ut=13 cm and diagonal of cuboid's baseis u1=5 cm. What is the volume of the cuboid?
- Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
- 3s prism
It is given a regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm. Calculate the volume of the prism.
- Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
- Frustrum - volume, area
Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm.
Tip: Our volume units converter will help you with the conversion of volume units. Pythagorean theorem is the base for the right triangle calculator. Volume - math problems. Pythagorean theorem - math problems.