00:01
To treat the shield volcanoes like flattened cones.
00:03
So the volume of a cone is equal to the area of its base, which is pi r squared, times one -third of its height or h over three.
00:10
So that's what i have written out here.
00:12
And we are asked to compare the volume of earth's largest volcano, mwaniloa, which is nine kilometers high and has a base diameter of 120 kilometers.
00:23
So its radius is 60 kilometers to olympus monde, which is 27 kilometers, high and has a base diameter of 550 kilometers.
00:32
So its radius is 225 kilometers.
00:35
So remember radius is half the diameter.
00:37
So what we want to do here is just simply take the volume of olympus mons and divide it by the volume of mwanaloa.
00:47
We're just going to call that vml.
00:50
So vom is volume of olympus mons.
00:52
Vml is volume of muana loa.
00:55
So when we divide these out, of course the pies are going to cancel and the threes are going to cancel because they're just constants...