On the first day of school, the cafeteria serves hot dogs and hamburgers together. The cafeteria serves hot dogs every 6th schoo
l day and hamburgers every 4th school day for the rest of the year. If there are a total of 180 school days, how many times will the cafeteria serve hot dogs and hamburgers together this year?
The volume of a sphere, V = (4/3)(PI)(R^3)
Let k = (4/3)(PI)
Therefore, V = k (R^3)
Let R’ = new radius = 2R
V’ =k (R’^3)
= k (2R)^3
= 8 k R^3
= 8 V
The volume would be eight time the original volume.
