A solid is formed by revolving the curve y = 4 – x4, 0< x< 4, about the x-axis. Estimate the volume of the solid by partitioning the region into 4 subintervals of equal length, slicing the solid with planes perpendicular to the x-axis at the subintervals right endpoints, and constructing cylinders of height 1 based on the cross sections at these points, as shown below.

A solid is formed by revolving the curve y = 4 – x4, 0< x< 4, about the x-axis. Estimate the volume of the solid by partitioning the region into 4 subintervals of equal length, slicing the solid with planes perpendicular to the x-axis at the subintervals right endpoints, and constructing cylinders of height 1 based on the cross sections at these points, as shown below.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

See similar textbooks