Volume + Pythagorean theorem - math problems

Number of problems found: 152

  • The volume
    kuzel2 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
    kuzel2 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
    sphere_in_cube 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
    cube_diagonals Find the surface and volume of a cube whose wall diagonal is 5 cm long.
  • Tetrahedron
    tetrahedron (1) Calculate height and volume of a regular tetrahedron whose edge has a length 6 cm.
  • Volume of the cone
    kuzel2 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
    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
    kuzel_rs 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
    kuzel2 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
    TriangularPyramid What is the volume of a regular triangular pyramid with a side 3 cm long?
  • Cone
    r_h_cone Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
  • Hexagonal pyramid
    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
    jehlan Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
  • Axial section
    kuzel_rs Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
  • Body diagonal
    krychle Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
  • Cuboid - volume, diagonals
    prism_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
    pyramid333 Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
  • 3s prism
    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
    jehlan_4b_obdelnik 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
    frustum-of-a-right-circular-cone 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.

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