(a) pi * r * l = 1/2 (4 * pi * r^2)
l = 2r
(b) I can't do
(c) I can't do
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: .