Sphere + cube - math problems

Number of problems found: 27

  • The golf
    cube_sphere_in The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
  • Thousand balls
    balls2 We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
  • Eight
    sphere_in_cube Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball?
  • 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?
  • Wall thickness
    sphere_Nickel The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm3.
  • Inscribed circle
    Cube_with_inscribed_sphere A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base?
  • Alien ship
    cube_in_sphere The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
  • Tangent spheres
    tangent_spheres A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in a corner of a room. The spheres are each tangent to the walls and floor and
  • Cube into sphere
    cube_sphere_in The cube has brushed a sphere as large as possible. Determine how much percent was the waste.
  • Inscribed
    koule_krychle Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
  • Cube, cuboid, and sphere
    cubes3.png Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. At what rate are the volumes of cube, cuboid, and sphere?
  • Inscribed sphere
    cubes2 How many percent of the cube volume takes the sphere inscribed into it?
  • Cube in sphere
    sphere4 The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
  • Cube and sphere
    gule Cube with the surface area 150 cm2 is described sphere. What is sphere surface?
  • Sphere vs cube
    koule_krychle How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere?
  • Inscribed sphere
    ball-in-cube How many % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube?
  • Cube from sphere
    sphere_cube What largest surface area (in cm2) can have a cube that we cut out of a sphere with radius 43 cm?
  • Sphere area
    sphere A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere.
  • Hollow sphere
    sphere The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m3
  • Chemical parison
    banka The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?

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Sphere Problems. Cube Problems.