In this lesson, Professor Perez teaches how to find the volume and surface area of a region bounded by curves using the example of an air intake manifold. Through circular cross-sections and integration techniques, he breaks down the math into manageable steps, showing how to find the area of inlets and outlets, and ultimately the volume and surface area of the manifold. With clear explanations and helpful tips, this lesson is a great resource for anyone looking to improve their calculus skills.
Finding the volume and surface area of a region bounded by curves.
Created by and copyright of Larry Perez. Funded by the state of California through Saddleback College. More information on videos, resources, and lessons at Algebra2Go.