Thousand balls

We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?

Correct answer:

r =  5 cm

Step-by-step explanation:

D=1 m cm=1 100  cm=100 cm R=D/2=100/2=50 cm n=1000  V1=43 π R3=43 3.1416 503523598.7756 cm3 V2=V1/n=523598.7756/1000523.5988 cm3 V2=43 π r3 cm3  r=V2 34π3=523.5988 34 3.14163=5 cm   Verifying Solution:   r2=R/n1/3=50/10003=5 cm r2=r



We will be pleased if You send us any improvements to this math problem. Thank you!



avatar




Tips to related online calculators
Do you know the volume and unit volume, and want to convert volume units?

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Volume per time
    inlet How long does fill take for a pump with a volume flow of 200 l per minute fill a cube-shaped tank up to 75% of its height if the length of the cube edge is 4 m?
  • Cube basics
    krychle_2 How long is the edge length of a cube with volume 15 m3?
  • The cube
    cubes_3 The cube has a surface area of 486 m ^ 2. Calculate its volume.
  • Volume of sphere
    sphere_in_cube How many times does the volume of a sphere increase if its radius increases 2 ×?
  • Cube V2S
    cube_shield The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
  • 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?
  • The cube
    cube_in_sphere The cube has a surface of 600 cm2, what is its volume?
  • Iron sphere
    sphere_1 Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface and diameter of the sphere.
  • The reservoir
    hydroglobus The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
  • Cube in a sphere
    cube_in_sphere_1 The cube is inscribed in a sphere with a volume 7253 cm3. Determine the length of the edges of a cube.
  • Hectoliter into cube
    krychle_7 Can 1hl of water fit into a half-meter cube?
  • The volume
    kuzel2_1 The volume of the rotating cone is 376.8cm³, the height of this cone is 1dm. Calculate the diameter of the cone base.
  • Cylinder container
    valec2 The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
  • An example
    cubes3_2 An example is playfully for grade 6 from Math and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of t
  • Water tank
    nadrz 300hl of water was filled into the tank 12 m long and 6 m wide. How high does it reach?
  • Plasticine ball
    p_balls 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
  • Cylindrical tank
    sudy 9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?