![]() Section right over here, along the y axis, that It would be thatĬross-section right over here, which is a semi-circle. Looking at it at an angle, and if the figure were transparent, it would be thisĬross-section right over here. I've laid the coordinate plane down flat and I'm looking at it from above. If we take a slightly different view of the same three-dimensional, we would see something like this. Sections I guess we could say that are parallel to the yĪxis, so let's say we were taking a cross-section like that, we know that this will be a semi-circle. Sections that are perpendicular to the x axis, so cross Three dimensional figure is if we were to take cross So this region right over here is the base of a three dimensional figure. Quadrant, that this is the base of a three dimensional figure. That's below this graph but still in the first Over here is the graph of x plus y is equal to one. Substituting numbers back into original equation:Ĭan someone please tell me if this method is wrong and if so, what is my error? Again, since the formula for f(x) is x+y=1, I figured the base diameter had to be 1. To calculate the radius, I noticed that another base of the triangle formed by the function f(x) in the first quadrant was the diameter of the cone. Since the formula for f(x) is x+y=1, I figured the base had to be 1. To get the height, I saw that in the diagram of the cone, you can see that the height of the cone is the same as the one of the bases of the triangle formed by the function f(x) in the first quadrant. From here on, I only need to substitute in the values for r and h to get the correct answer. To get half a cone, I divided that by 2, giving me the formula ((pi*r^2*h)/3)/2. The volume to calculate the volume of a cone is (pi*r^2*h)/3. I first recognized the shape to be half a cone. ![]() Can anyone please tell me if the method I used (shown below) is wrong? 1:20, when Sal encouraged us to figure out the volume of the shape, I used a different method that still gave me the correct answer. ![]()
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