Pencil Holder.A high school art teacher wants to buy material for her students' project. The project consists of making a pencil holder in the shape of a right cylinder. The cost of producing the top and bottom of the pencil holder is 43 cents per cm²and the cost of producing the side of the cylinder is 27 cents per cm².Hint: the area of the side is 2rh.

(a) The cost function is Note: Enter the cost function in terms of the radiusronly. The symbolis in the Calcpad on the right in Symbols. C(r) =

(b) The dimensions of the pencil holder that has the minimum cost are Note: Enter your answers as fractions or decimal numbers rounded to 4 decimal places without units. r= in h= in