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 = πr^{2}h , 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 = πr^{2}h and solve for r.

V = πr^{2}h

24 = πr^{2}(3)

Solve for r.

πr^{2}(3) = 24

r = 1.6

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