Aspherical scoop of ice cream with a diameter of 8 cm rests on top of a sugar cone that is 12 cm deep and has a diameter of 8 cm. what percent of the ice cream must be eaten to insure it does not overflow the cone when it melts?

25% of the ice cream must be eaten to insure it does not overflow the cone when it melts.

Step-by-step explanation:

1. You must calculate the area of spherical scoop of ice cream  with the following formula for calculate the volume of  a sphere:

Where is the radius ()

2. Now, you need to calculate the volume of the sugar cone with the following formula:

Where is the radius () and is the height ():

3. When the ice cream melt, the percent of the cone that will be filled is:

%

4. Therefore, the percent of the ice cream that must be eaten to insure it does not overflow the cone when it melts, is:

%%

%

step-by-step :