There are many problems where the disk & washer method is perfectly effective. But in some instances you’ll need to know about the shell method for computing the volume of a solid of revolution. This video really demonstrates how shells work: The TL;DR is that it is easier to use the washer method for finding the […]
Category: Math
How to find the volume of a solid with triangle base & (semi-) circular cross sections
On this page, I will collect my notes and analysis that will help me find the volume of a solid with a triangle base and semi-circular cross sections. Example problem Use the general slicing method to find the volume of the solid whose base is the triangle with vertices(0,0), (6,0), and (0,6) and whose cross […]
How to Find Volume of a solid with a (semi-) circular base and square cross sections
On this page, you will find out how to find the volume of a solid with either a circular or semicircular base, and square cross sections. Circular Base Pro-tip: watch the YouTube video to really understand what’s going on. Problem: Find the volume of a solid with a circular base, radius 4, and a cross […]
Chain Rule
Chain Rule For Finding Derivatives h(x) = f[g(x)] h'(x) = f'[g(x)]*g'(x)
6.3 Volume by Slicing
General Slicing Method Suppose a solid object extends from x = a to x = b and the cross section of the solid perpendicular to the x-axis has an area given by a function A that is integrable on [a, b]. The volume of the solid is: So I just wanted to chime in a particularly […]
