Volume of ball

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

Correct answer:

V =  381.8571 dm³

Step-by-step explanation:

$$\begin{gathered} r=4+{\displaystyle \frac{1}{2}}={\displaystyle \frac{9}{2}}=4.5\text{ dm } \\ V={\displaystyle \frac{4}{3}}\pi r^3 \\ V={\displaystyle \frac{4}{3}}\cdot {\displaystyle \frac{22}{7}}\cdot r^3={\displaystyle \frac{4}{3}}\cdot {\displaystyle \frac{22}{7}}\cdot 4.5^3={\displaystyle \frac{2673}{7}}{\text{dm}}^3=381.8571{\text{dm}}^3 \end{gathered}$$

Try another example

Related math problems and questions:

• The ball
  The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
• The volleyball ball
  The volleyball ball can have a circumference after inflation of at least 650 max 750 mm. What volume of air can this ball hold, if its circumference is the average of the minimum and maximum inflation of the ball.
• Cube in ball
  Cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere?
• Plasticine ball
  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
• Eight
  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?
• Brass sphere
  Find the weight of a brass ball with an outer radius of 12 cm, a wall thickness of 20 mm if the brass's density is 8.5 g/cm³.
• What is bigger?
  Which ball has a larger volume: a football with a circumference of 66 cm or a volleyball with a diameter of 20 cm?
• Sphere VS
  Find the surface and volume of a sphere that has a radius of 2 dm.
• Iron ball
  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.
• Clay balls
  How many clay balls with a radius of 1 cm can be made from a ball of clay with a radius of 8 cm?
• Volume of sphere
  How many times does the volume of a sphere increase if its radius increases 2 ×?
• The granite ball
  What is the weight of a granite ball with a radius of 60 cm, if 1 m³ of granite weighs 2.7 tons?
• Sphere fall
  How many percent fall volume of a sphere if diameter decreases 3×?
• The inflated
  The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a fully blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a heigh
• Sphere growth
  How many times grow volume of sphere if diameter rises 10×?
• Cube in sphere
  The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball?
• Two balls
  Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them.