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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 of frosting per minute.

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

    We know that Paolo squeezes  cubic centimeters of frosting every seconds.

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

  3. Will Jessica like the cake?

    What type of cake does Jessica like?