And then the height of this cylinder that is this distance on that rectangle. That's a rolled up rectangle and this green part right there when it's done, Rose, it is the length of this rectangle here. You were told in the problem that the material for the sods will cost a dollar a square for it We're now beside. So there is a circle here, and there is a circle here in the area of each of those circles. I'm gonna go up to my diagram and I'm gonna mark those in grain. Now, this, too, was my That was dollars $2 per square foot. Well, now the area of that circle is, uh, r squared. Now notice that there's a circle on the top and bottom. And now we were told that on the top and bottom, the cost is $2 per square foot so I'm gonna write an equation for my cost On my variable will be our So it's the cost in terms of our $2 per square food. It spit the dimensions of the container that the one that would be the least expensive fits that are that isn't are right there. Now the calls for designing the symbol, the cost of the materials we want Teoh minimize that costs because they asked us for the least. We don't wanna be working with variables right now. So when we represent our high in terms of our it is 16 divided by power squares, and the reason we want to do that is because we just want one variable. Now R is the radius of that base and notice that circles on the top and bottom are congruent. So that's pa R squared times the height never buy you, miss sits stain. Our formula for volume is the area of the base times the height. So we're working with the cylinder, so I'm gonna draw a diagram to represent that cylinder, and we know that the volume of this cylinder is 16.

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