Thousand balls

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

Correct result:

r =  5 cm

Solution:

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=5 cm   Verifying Solution:   r2=R/n1/3=50/10003=5 cm r2=r



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
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

Next similar math problems:

  • Cube basics
    krychle_2 How long is the edge length of a cube with volume 15 m3?
  • Water
    cylinder_1 Into a full cylindrical tank high 3 with base radius 2.4 m we insert cuboid with dimensions 1.7 m, 1.7 m, 0.8 m. How many liters of water will come out?
  • The cube
    cube_in_sphere The cube has a surface of 600 cm2, what is its volume?
  • 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?
  • 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?
  • 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?
  • Hectoliter into cube
    krychle_7 Can 1hl of water fit into a half-meter cube?
  • Cube V2S
    cube_shield The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
  • 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
  • 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?
  • Water reservoir
    nadrz_9 The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans.
  • Cube edge
    cubes_9 Determine the edges of the cube when the surface is equal to 37.5 cm square.
  • Water tank
    nadrz 300hl of water was filled into the tank 12 m long and 6 m wide. How high does it reach?
  • Clay balls
    balls2 How many clay balls with a radius of 1 cm can be made from a ball of clay with a radius of 8 cm?
  • The wall
    wall_mur We have to build a cuboid wall with dimensions base 30 cm and 45 cm and height 3.25 meters. Calculate how many we need bricks if we spend 400 pieces of bricks to 1 m3 of wall?
  • Sphere cut
    odsek_gule A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the volume of the segment. What is the distance of the cutting plane from the center of the sphere?
  • Milk cartons
    milk How much paper do we need for 12 tetra pack with dimensions 6 cm, 11 cm and 20 cm? Will 1 liter of milk fit in the box?