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.
Solution:-
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 = 1.6
Therefore, the radius of the can is about 1.6 inches.