Problem 1025

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 tis 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 the equation V = πr2h and solve for r.

V = πr2h

24 = πr2*3

Solve for r

r2 = \frac{24}{3π}

r2 = \frac{8}{π}

r= \approx

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


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