Cylinder in cube

Into a paper box in the shape of a cube with an edge of 10 cm is placed a can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube. What % of the volume of the cube does the can take up?

Correct result:

p =  78.5398 %

Solution:

a=10 cm r=a/2=10/2=5 cm  S1=a2=102=100 cm2 S2=π r2=3.1416 5278.5398 cm2  p=100 V2V1=100 a S2a S1  p=100 S2S1=100 78.5398100=78.5398%



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