Right triangle + volume - math problems

Number of problems found: 190

  • Rotating cone
    Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
  • Sphere and cone
    Within the sphere of radius G = 33 cm inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone?
  • Wall height
    Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm.
  • Angle of cone
    The cone has a base diameter of 1.5 m. The angle at the main apex of the axial section is 86°. Calculate the volume of the cone.
  • Quadrilateral pyramid
    A regular quadrilateral pyramid has a volume of 24 dm3 and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid
  • Cut and cone
    Calculate the volume of the rotation cone which lateral surface is circle arc with radius 15 cm and central angle 63 degrees.
  • Hexaprism container
    Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm.
  • Octahedron
    All walls of regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron.
  • The tetrahedron
    Calculate the surface area and volume of a regular tetrahedron 4.9 cm high, the base edge has a length of 6 cm.
  • Perpendicular prism
    Calculate the volume of the perpendicular prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
  • Regular quadrilateral pyramid
    What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
  • Pyramid 4sides
    Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long and the height of the pyramid is 7 cm.
  • Prism
    Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.
  • Regular hexagonal prism
    Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long.
  • Axial section
    Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
  • Surface of the cone
    Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
  • 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.
  • The cone - S,V
    Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
  • Triangular pyramid
    Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm.
  • The hemisphere
    The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees?

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