PLEASE HELP!! MUST HAND IN SOON!! THANK YOU!

Question

Your mother tells you take your little sister for ice cream. On the way there your sister tells you, she wants one scoop of chocolate and one scoop of the pink ice cream (strawberry). Now you know she does NOT like strawberry, but you also know she will yell until she gets what she wants. You also know she will not finish two scoops of ice cream, so you decide to get her what she wants. You tell the ice cream guy to put the pink ice cream on the bottom and the chocolate on the top. Your little sister is thrilled and eats about 40% of the ice cream, as you knew she would. 

You hope that the ice cream she does not eat will fit in the cone. Does it? Make sure to show calculations.

The cone has a diameter of 5 inches and a height of 6 inches. Each scoop of ice cream has a radius of 2.5 in. (we will assume that you do not actually get a FULL sphere of ice cream but a hemisphere. And we will assume that the volume of the ice cream does not change as it melts. )

Answer 1

This is all about volume. If the volume of the uneaten icecream is the same as the volume of the cone, then all of the pink and what's left of the chocolate will fit in the cone. Cone V = 1/3 pi r^2 h, scoop V = 4/3 pi r^3. Deal with the scoop first. Since there are two scoops and each is half a scoop, then the volume of just one scoop is all you need. Since 40% is gone, you only need 60% of that one scoop. Keep the pi symbol throughout and use fractions rather than decimals so you can cancel. You'll end up with an improper fraction times pi for both the cone and the leftover icecream. Good luck!