Iron sphere

Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface, and diameter of the sphere.

Correct answer:

V =  13.1579 dm3
D =  2.9291 dm
S =  26.9531 dm2

Step-by-step explanation:

m=100 kg h=7600 kg/m3 m=hV V1=mh=1007600=1760.0132 m3 V=V1 dm3=V1 1000  dm3=0.0132 1000  dm3=13.158 dm3=25019 dm3=13.1579 dm3
V=43πr3 r=V 34π3=13.1579 34 3.141631.4645 dm D=2 r=2 1.4645=2.9291 dm
S=4π r2=4 3.1416 1.46452=26.9531 dm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

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

Related math problems and questions:

  • Sphere
    1sphere The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
  • Iron ball
    damper_sphere The iron ball has a weight of 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm3.
  • 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.
  • 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
  • Iron cast
    litina What is the weight of cast iron with a volume of 3575 cubic centimeters? The density of the cast iron is 7600 kg/m3
  • Cone from cube
    cones From a wooden block, 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m3
  • 3d printer
    filament 3D printing ABS filament with diameter 1.75 mm has density 1.04 g/cm3. Find the length of m = 5 kg spool filament. (how to calculate length)
  • Seawater
    ice_cubes Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
  • Area of a cube
    kocky Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
  • Cuboid 5
    drevo Calculate the mass of the cuboid with dimensions of 12 cm; 0.8 dm and 100 mm made from spruce wood (density = 550 kg/m3).
  • Cu wire
    medeny-drat Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if density of copper is ρ = 8500 kg/m3. Result round to one decimal place.
  • Cube surface and volume
    cube_diagonals The surface of the cube is 500 cm2, how much cm3 will be its volume?
  • Iron density
    pipe1 Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm3.
  • The cube
    cube_shield The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
  • Plastic pipe
    pvc-trubka Calculate the plastic pipe's weight with diameter d = 70 mm and length 380 cm if the wall thickness is 4 mm and the density of plastic is 1367 kg/m3.
  • Steel tube
    pipe1 The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m3. Calculate its length if it weighs 15 kg.
  • Tower model
    tower Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-digi