SOLUTION: a cyclider of radius r sits snugly inside a cube. Which of the following expressions represents the difference of their LATERAL AREAS? a)2r^2 (8- pi) b) 2r (pi - 2) c) 2r

Algebra ->  Surface-area -> SOLUTION: a cyclider of radius r sits snugly inside a cube. Which of the following expressions represents the difference of their LATERAL AREAS? a)2r^2 (8- pi) b) 2r (pi - 2) c) 2r       Log On


   

Question 237540: a cyclider of radius r sits snugly inside a cube. Which of the following expressions represents the difference of their LATERAL AREAS?
a)2r^2 (8- pi)
b) 2r (pi - 2)
c) 2r (4- pi)
d) 4r^2 (4- pi)
^2 = squared
Answer by solver91311(24713) About Me  (Show Source):
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If the cylinder with radius fits snugly inside the cube, the cube must have an edge length equal to the diameter of the cylinder, or .

The lateral surface area of a cube is the area of 4 of the sides:



So for this cube:



The lateral surface area of a cylinder is:



But for this cylinder, the height is equal to the edge of the cube, so:



Compute the difference:





John