A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 12 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. Thank You
Follow Math Help Forum on Facebook and Google+
Since [tex]V = \frac {4}{3} \pi r^3 + \pi r^2 h[/maTH], [tex]12 = \frac {4}{3} \pi r^3 + \pi r^2 h[/maTH] and Also, , which is . Simplify, derive, set equal to zero, and solve.
View Tag Cloud