A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a patient's tooth. The radius of the filling is 3 mm. The height of the cylindrical portion is 4 mm. If dental gold costs $16.00 per cubic millimeter, how much did the gold for the filling cost? Round to the nearest cent. Use pi ≈ 3.14.
The volume of a hemisphere is used to solve a word problem. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.