Aculvert is constructed out of large cylindrical shells cast in concrete, as shown in the figure. using the formula for the volume of a cylinder given on the inside back cover of this book, explain why the volume of the cylindrical shell is v = πr2h − πr2h. factor to show that v = 2π · average radius · height · thickness since average radius = incorrect: your answer is incorrect. , height = h, and thickness = incorrect: your answer is incorrect. , we see the following. v = πr2h − πr2h = 2πh 2 = 2πh(r − r) 2 = 2π · 2 · h · r − r = 2π · average radius · height