Question

Question 3: By using the indicated number of slices, calculate the approximate volume of the solid to 8 decimal places and record your results in the table below. The result for n - 4 is recorded, and the result for n 100 is given as well. The file in the "Projects" folder gives explicit instructions to set up the worksheet for n -4, and to check that you understand the procedure, make sure that your answer for n -100 matches the one given here. 7.17289416 10 50 100 5.91163962 500 1000 You should have computed that to 8 decimal places, the eract volume is 5.86430628 cubic units. Do the numbers in your table get closer to this as n increases? In this approximation step, we could find a formula that gives the approximate volume of the solid in terms of n. To do this, we would need to compute the volume Δνί of the k-th disk: We then would have to add the volumes of all of these together. Letting V denote the actual volume of the solid, we could write:

Answer 1