I found this problem in the beginners' section and I have some difficulty.
We have 3 cheese balls with diameters of 1, 2, and 6. We melt the cheese balls and make one big cheese ball. What's the diameter of the new cheese ball?
So I understand we need to find the volume of each (4/3*pi*r^3), so
v1=4/3*pi*.5^3 = pi/6
v2=4/3*pi*1^3 = 4*pi/3
v3=4/3*pi*3^3 = 36*pi
so total volume is the sum and = 75*pi/2
so to solve for Diameter we do
4/3*pi*(D/2)^3 = 75*pi/2 well, I don't know how to solve that
the next line in the answer is D^3 = 225, but I am missing the in-between (there is an in-between explanation right?). Would someone be able to help me?
Thanks in advance,