Paolo wants to surprise his girlfriend Jessica (who loves chocolate) by baking and decorating a cake for her to celebrate their anniversary. The frosting bag is in the shape of a right cone with a radius equal to its height. He squeezes the bag with constant pressure so that he applies 15 cubic centimeters of frosting per minute. Homework Help ✎

1. How much frosting will Paolo have put on the cake after 42 seconds?

2. How fast is the radius of the frosting bag changing at the moment the radius is 1.7 cm?

3. Will Jessica like the cake?