The prison ball

Calculate the density of the material that the prison ball is made from if you know its diameter is 15cm and its weight is approximately 2.3kg. With the help of mathematical-physicochemical tables estimate what material the ball is made from.

Result

h =  1301.534 kg/m3

Solution:

D=15 cm=15/100 m=0.15 m m=2.3 kg  r=D/2=0.15/2=340=0.075 m  V=43 π r3=43 3.1416 0.07530.0018 m3  h=m/V=2.3/0.00181301.53381301.534 kg/m3D=15 \ cm=15 / 100 \ m=0.15 \ m \ \\ m=2.3 \ \text{kg} \ \\ \ \\ r=D/2=0.15/2=\dfrac{ 3 }{ 40 }=0.075 \ \text{m} \ \\ \ \\ V=\dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r ^3=\dfrac{ 4 }{ 3 } \cdot \ 3.1416 \cdot \ 0.075 ^3 \doteq 0.0018 \ \text{m}^3 \ \\ \ \\ h=m/V=2.3/0.0018 \doteq 1301.5338 \doteq 1301.534 \ \text{kg/m}^3



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
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.

Next similar math problems:

  1. Volume of ball
    ball1_5 Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π
  2. Cylindrical tank
    valec_7 Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
  3. Railway wagon
    cargo The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
  4. Wood
    wood_timber Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?
  5. Bottle
    cylinder_11 A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the hight of the cylinder must be 5 times the radius.
  6. Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  7. Reservoir 3
    water_11 How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet?
  8. Simplify 2
    expr Simplify expression: 5ab-7+3ba-9
  9. Container
    valec2_5 The container has a cylindrical shape the base diameter 0.8 m and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container?
  10. Inscribed
    koule_krychle_1 Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
  11. Conva
    konva_1 How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
  12. Water lake
    jezirko The length of the lake water is 8 meters width 7 meters and depth 120 centimeters. How many liters of water can fit into the water lake?
  13. Circular pool
    b1 The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?
  14. Cylindrical tank 2
    watertank_3 If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold?
  15. Degrees to radians
    angle Convert magnitude of the angle α = 9°39'15" to radians:
  16. Feet to miles
    runners_6 A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
  17. Temperature conversion
    teplomer_12 The normal human body temperature is 98.6 degrees Fahrenheit. What is the temperature in degrees Celcius?