I'm still confused on some of these volume problems, so please bear with me :) 1. The problem statement, all variables and given/known data Find the volume of a reentry spacecraft nose cone that has a cross-section radius of (1/4)x2 taken x feet from the nose and perpendicular to the axis of sym. We are given that the length of the cone is 10 ft. 2. Relevant equations Well, I'm not sure if a "nose cone" is a standard cone or is this like a frustrum? I see a formula for 2pi*Int(0, 10) x*(1/4)x2dx but is that all there is to it? 3. The attempt at a solution Using the equation above I would get 2pi/4[(1/2)x^2*(x^3)/3] over interval 0 to 10 so: 2pi/4[50*1000/3]-0=2pi/4*50,000/3=100,000pi/12=25,000pi/3 This just seems way too huge.