SOLUTION: Tennis balls are packaged in a cylindrical can, and since they're round, that leaves a lot of empty space in the can. How much space? The radius of a tennis ball is 3.3cml; the can

Algebra ->  Volume -> SOLUTION: Tennis balls are packaged in a cylindrical can, and since they're round, that leaves a lot of empty space in the can. How much space? The radius of a tennis ball is 3.3cml; the can      Log On


   

Question 996887: Tennis balls are packaged in a cylindrical can, and since they're round, that leaves a lot of empty space in the can. How much space? The radius of a tennis ball is 3.3cml; the can has the same radius for a nice tight fit, and the height of the can is six times that radius, which is 19.8 cm. Find the volume of empty space in the can.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
ball is 6 times the radius =19.8cm
diameter 6.6 cm
so three balls can be fytted into the can
Empty space in the can = Volume of can - volume of 3 balls
Vol of can height = 19.8
radius = 3.3cm
v= pi r^2 h
V= 3.14 * 3.3^2 * 19.8 = 677.05 cm^3
Volume of spheres = 4/3 * pi * r^3
= (4/3) * 3.14 * (3.3)^3 = 150.45 cm^3
Volume of 3 balls = 3* 150.45 = 451.36
difference of volumes = empty space