SOLUTION: what is the volume of the empty space left when three tennis balls with a diameter of 3 inches are packed into a cylindrical container that is 9 inches tall with the same diameter

Question 451381: what is the volume of the empty space left when three tennis balls with a diameter of 3 inches are packed into a cylindrical container that is 9 inches tall with the same diameter as the tennis ball?
Answer by kingme18(98) (Show Source): You can put this solution on YOUR website!
To find the volume of the leftover space, you need to find the total volume (volume of the cylinder) and the volume of the balls (spheres), then subtract to find everything IN the cylinder and OUTSIDE the balls. Note that for both the cylinder and the spheres, the radius is 1.5 since the diameter is 3.
The formula for the volume of a cylinder is . This is approximately . The volume of a sphere is . In your case, this is about . However, there are 3 balls. Since each one is 14.13 cubic inches, we'll multiply by 3 and get 42.39. We can now subtract the total minus the balls: 63.585-42.39=21.195 cubic inches.
RELATED QUESTIONS
Tennis balls are packed into a square box 12 in. on one side. The tennis balls can be... (answered by ikleyn)

Three tennis balls are tightly packed in a can.(circular cylinder). What fraction of the... (answered by stanbon)

please help me solve this. tennis balls are packed into a square box 12 inches on one... (answered by vleith)

toy rubber balls are packaged in a circular cylinder that holds 3 balls. the diameter of... (answered by ankor@dixie-net.com)

1. Korey packs 27 tennis balls into 3 square layers. Each ball has a diameter of 8 cm.... (answered by ikleyn)

3 tennis balls are packed tightly in a can.Express the volume of the unoccupied space... (answered by Alan3354)

a can has 3tennis balls, the can is just large enough sothat he tenis balls will fit... (answered by mananth)

Three tennis balls are sold in cylindrical containers. Find the amount of empty space in (answered by solver91311)

Three tennis balls, each of diameter 7cm, are sold in a cylindrical container. The... (answered by Alan3354,ikleyn)