Question: Mt. Shasta is a cone-like volcano whose radius at an elevation of h feet above sea level is approximately (3.5 · 105)/√(h + 600) feet. Its bottom is 400 feet above sea level, and its top is 14,400 feet above sea level. See Figure 8.114. (Note: Mt. Shasta is in northern California, and for some time was thought to be the highest point in the US outside Alaska.)
(a) Give a Riemann sum approximating the volume of Mt. Shasta.
(b) Find the volume in cubic feet.
