00:01
Alright, so in this question, we have a tank of water in the shape of a cylinder, and we know that its height is 10 meters, 10 meters, and the radius of the cylinder, the radius is 6 meters.
00:18
So 6 meters.
00:21
If half of the tank is filled with water, how much work is required to pump all of the water to the top of the tank? so half is filled with water.
00:34
How much work is required to pump all of this to the top of the tank? all right.
00:41
So let's get started.
00:42
The volume of this cylinder is going to be pi r squared times height.
00:49
Let's go ahead and figure that out.
00:51
We have all the necessary information.
00:53
Pi times six squared times the height, which is 10.
01:00
This gives us 360 pi.
01:05
And our units would be meters cubed.
01:09
So since half of this is filled with water, half is filled with water.
01:16
So half of this volume is filled with water.
01:19
So that means it's 360 pi divided by 2 has water.
01:26
And this gives us 180 pi...