blushant634Lv1
6 Nov 2021
Problem 3a
Page 491
Section: Focus on Problem Solving
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
6 Nov 2021
Given information
Given:
A segment of height of a sphere of radius is
Step-by-step explanation
Step 1.
(A) First we consider a circle of radius whose center at the origin
Since (radius of circle)
And (given)
Then
Are and respectively
Since the equation of the circle is
Then
If we rotate the shaded region about axis then we get a cap of a sphere with a height .
The radius of a typical disk is
Then cross-sectional area of the typical disk is