Explanation for Question 27 From the Math (Calc) Section on the 2019 May Sat
Question 27 states, a manufacturer determined that right? 2 Cylindrical containers with a height that is four inches longer than the radius 3 offers the optimal number of containers to be displayed on a shelf, 4 which of the following expresses the volume in cubic inches of such containers where 5 R is the radius and inches. So before we even start, 6 since I know that we are using a volume equation for cylinders, 7 I took a second, went to the front of the test and found that 8 formula. And I've written that right here. 9 So you don't have to have that memorize that is at the start of 10 this test section. So now I'm going to have that. 11 I'm going to use the information given in this paragraph, 12 and I'm going to draw this cylinder just to help me visualize what this 13 looks like. 14 So this is the cylinder. I know that the height or H is 15 four inches longer than the radius. 16 So this is the radius and the height is equal to R plus 17 four because it's four inches longer. 18 So now that I know that information, I can plug in our plus four 19 to H and that gives me fi is equal to PI R 20 squared times R plus four. 21 And then just simplify that I can distribute. 22 So I know that V is equal to PI R cubed 23 cause that's PI PI R squared times R and then when you multiply pirates 24 for attempts four, that gives you four PI R squared. 25 And so that means that the answer has to be deep.