SOLUTION: four spherical ornaments are sold in a cylindrical container as shown. the cylinder has the same radius as the ornaments, 20 millimeters. the height of the container us equal to th

Algebra ->  Volume -> SOLUTION: four spherical ornaments are sold in a cylindrical container as shown. the cylinder has the same radius as the ornaments, 20 millimeters. the height of the container us equal to th      Log On


   

Question 1082736: four spherical ornaments are sold in a cylindrical container as shown. the cylinder has the same radius as the ornaments, 20 millimeters. the height of the container us equal to the length of four ornaments arranged in a line. what is the volume of the container, and what is the total volume of the four ornaments? give the exact value for each volume.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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four spherical ornaments are sold in a cylindrical container as shown.
the cylinder has the same radius as the ornaments, 20 millimeters.
the height of the container us equal to the length of four ornaments arranged in a line.
what is the volume of the container, and what is the total volume of the four ornaments?
:
From the information given, the diameter of the cylinder and spheres = 40 mm
The cylinder contains 4 spheres, therefore 4 * 40 = 160 mm is the height
Find the vol of the container
V = pi%2A20%5E2%2A160
V = 201061.9298 cu/mm or 6400%2Api would be the exact answer
find the volume of the 4 spheres
V = 4 * 4%2F3pi%2A20%5E3
V = 134041.2866 cu mm or 426662%2F3*pi