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 can take up?

Correct answer:

p =  78.5398 %

Step-by-step explanation:

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 V1V2=100 a S1a S2  p=100 S1S2=100 10078.5398=78.5398%

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