Problem 1058

A cylindrical aluminum can is being constructed to have a height h of 3 inches. If the can is to have a volume of 24 cubic inches, approximate its radius r.




Recall that the volume of a cylinder is  given by the formula V = πr2h , where V represents the volume, h the height , and r the radius of the can.

To find the radius of the can, substitute V = 24 and h = 3 into h = 3 into the equation V = πr2h and solve for r.

V = πr2h

24 = πr2(3)

Solve for r.

πr2(3) = 24

r = \approx 1.6

Therefore, the radius of the can is about 1.6 inches.


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