SOLUTION: ``a tube with a diameter of 2 cm runs through the center of a container that is 10x10x10cm. how many cubic cm of space are left in the container? A. 874.4 cm^3 B. 996.9 cm^3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: ``a tube with a diameter of 2 cm runs through the center of a container that is 10x10x10cm. how many cubic cm of space are left in the container? A. 874.4 cm^3 B. 996.9 cm^3       Log On


   



Question 1069103: ``a tube with a diameter of 2 cm runs through the center of a container that is 10x10x10cm. how many cubic cm of space are left in the container?
A. 874.4 cm^3
B. 996.9 cm^3
C. 68.6 cm^3
D. 968.6 cm^3''.
''.

Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of tube is pi^r^2*h=pi *1*10=10*pi cm^2
volume of container is 1000 cm^3
the amount of space left is 1000-10 pi=968.58 cm^3
D.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the tube is
+pi%2A%28+2%2F2+%29%5E2+%2A+10+=+pi%2A10+
+pi%2A10+=+31.416+ cm3
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+10%5E3++1000+ cm3
+1000+-+31.416+=+968.584+ cm3
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The answer is (D) 968.6 cm3