For b)
Use Pyhtagoras.
Hello, GAdams!
From the diagram in (a), we can use Pythagorus (as janvdl suggested):(b) Find the perpendicular height, , of the cone in terms of .
. .
Since , we have: .
The volume of a cone is: .(c) Find the ratio of the volumes of the cone and the hemisphere.
The volume of a hemisphere is: .
The ratio is: .