Solution Found!
Volumes of solids Find the volume of the
Chapter 4, Problem 44E(choose chapter or problem)
Volumes of solids Find the volume of the following solids.
The region bounded by \(y=\left(1-x^{2}\right)^{-1 / 2}\) and y=4 is revolved about the x-axis.
Questions & Answers
QUESTION:
Volumes of solids Find the volume of the following solids.
The region bounded by \(y=\left(1-x^{2}\right)^{-1 / 2}\) and y=4 is revolved about the x-axis.
ANSWER:Problem 44E
Volumes of solids Find the volume of the following solids.
The region bounded by y = and y = 4 is revolved about the x-axis.
Answer;
Step 1; In this problem we need to find the volume of the solid founded by the region bounded by y = , and y =4 is revolved about the x-axis.
In order to find the volume, we will be using the following condition.
If f and g are the functions such that and g(x)
, for all
in the interval
, then the volume of the solid generated by revolving, around the x axis, the region bounded by the graph of
, g and the vertical lines
and
is given by the integral
Volume