Cube + sphere - math problems

Number of problems found: 27

  • The golf
    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
    We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
  • Eight
    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?
  • Wall thickness
    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.
  • Cube into sphere
    The cube has brushed a sphere as large as possible. Determine how much percent the waste was.
  • Inscribed
    Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
  • Cube, cuboid, and sphere
    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
    How many percent of the cube volume takes the sphere inscribed into it?
  • Inscribed sphere
    How many % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube?
  • Sphere area
    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
    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
    The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?
  • Iron sphere
    Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface, and diameter of the sphere.
  • Balls
    Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
  • Shots
    5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
  • Cube in ball
    Cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere?
  • Plasticine ball
    Plasticine balls have radius r1=85 cm, r2=60 mm, r3=59 cm, r4=86 cm, r5=20 cm, r6=76 mm, r7=81 mm, r8=25 mm, r9=19 mm, r10=14 cm. For these balls
  • Cube in a sphere
    The cube is inscribed in a sphere with a volume 7253 cm3. Determine the length of the edges of a cube.
  • Alien ship
    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
  • Cubes
    One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.

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Cube Problems. Sphere Problems.