Answer:
450pi
Step-by-step explanation:
The volume of this figure is just the sum of the volumes of two cones. They both have radius of 5 and one has a height of 7 and the other has a height of 11.
The easiest way (for me) to calculate the volume is to find the average of the heights (9) and multiply the volume of a cone with the same radius as the other two and the other height by two.
The volume for a cone is just (pi*r^2*h)/3, so the 'average' cone's volume is 25pi * 9/3 or 75pi.
Double this to get 150pi.
Alternatively, you could calculate the volumes of the two cones using separate heights, but here you will end up with non-whole numbers (times pi) for both cones if you use that method.
