Volume of ball

Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π

Result

V =  381.857 dm3

Solution:

r=4+12=92=4.5 dm  V=43πr3  V=43 227 r3=43 227 4.53=26737381.8571=381.857 dm3r = 4 + \dfrac{ 1 }{ 2 } = \dfrac{ 9 }{ 2 } = 4.5 \ dm \ \\ \ \\ V = \dfrac{ 4 }{ 3 } \pi r^3 \ \\ \ \\ V = \dfrac{ 4 }{ 3 } \cdot \ \dfrac{ 22 }{ 7 } \cdot \ r^3 = \dfrac{ 4 }{ 3 } \cdot \ \dfrac{ 22 }{ 7 } \cdot \ 4.5^3 = \dfrac{ 2673 }{ 7 } \doteq 381.8571 = 381.857 \ dm^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
Tip: Our volume units converter will help you with the conversion of volume units.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Cube in ball
    sphere2 Cube is inscribed into sphere of radius 241 cm. How many percent is the volume of cube of the volume of sphere?
  2. 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
  3. Shots
    broky 5500 lead shots with diameter 4 mm is decanted into a ball. What is it diameter?
  4. Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  5. Spheres in sphere
    Spheres_in_sphere How many spheres with a radius of 15 cm can fits into the larger sphere with a radius of 150 cm?
  6. Water well
    studna Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
  7. Sphere fall
    sphere How many percent fall volume of sphere if diameter fall 10×?
  8. Sphere growth
    sphere How many times grow volume of sphere if diameter rises 10×?
  9. Gasholder
    gas_holder The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?
  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. Hollow sphere
    Xmas_ball Calculate the weight of a hollow tungsten sphere (density 19.3 g/cm3), if the inner diameter is 14 cm and wall thickness is 3 mm.
  12. Cube 7
    krychle_4 Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm.
  13. Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  14. Total displacement
    stroke_bore_engine Calculate total displacement of the 4-cylinder engine with the diameter of the piston bore B = 6.6 cm and stroke S=2.4 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and back
  15. Sphere A2V
    sphere3 Surface of the sphere is 241 mm2. What is its volume?
  16. Sportsman
    lungs A trained athlete is able to exhale after a deep breath still 500 ml of air. At normal inhalation and exhalation is breathing 500 ml of air. Within one minute, one breath and exhaled 14 times. What part of breathing air per day is one exhalation?
  17. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.