Volume of ball

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

Correct result:

V =  381.857 dm3

Solution:

r=4+12=92=4.5 dm  V=43πr3  V=43⋅ 227⋅ r3=43⋅ 227⋅ 4.53=26737=381.857 dm3r=4 + \dfrac{ 1 }{ 2 }=\dfrac{ 9 }{ 2 }=4.5 \ \text{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 }=381.857 \ \text{dm}^3

Try another example


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!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

You need to know the following knowledge to solve this word math problem:


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

Next similar math problems:

  • Cube in ball
    sphere2 Cube is inscribed into sphere of radius 181 dm. How many percent is the volume of cube of the volume of sphere?
  • 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?
  • 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
  • Shots
    broky 5500 lead shots with diameter 4 mm is decanted into a ball. What is it diameter?
  • Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  • Volume of the cone
    kuzel Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm
  • Cannonballs
    sphere_Nickel Of the three cannonballs with a diameter of 16 cm, which landed in the castle courtyard during the battle, the castle blacksmith cast balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith c
  • 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?
  • Trough
    amazonka How many liters of water per second can go via trough, which has a cross section of semicircle with radius 2.5 m and speed of water is 147 cm per second?
  • Sphere growth
    sphere How many times grow volume of sphere if diameter rises 10×?
  • Sphere fall
    sphere How many percent fall volume of sphere if diameter fall 10×?
  • 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.
  • Spherical segment
    SphericalSegment_1000 Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, the upper base 60 cm.
  • For thinkings
    glass_cubes The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge?
  • Gas sphere
    sphere_tank The gas tank has the shape of a sphere with a diameter of 14 m. How many m3 of gas will fit in it?
  • Gasholder
    gas_holder The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
  • Inscribed
    koule_krychle_1 Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.