Question: Consider the region R given in Exercise 63. If the volume of the solid formed by revolving R around the x-axis is 6, and the
Consider the region R given in Exercise 63. If the volume of the solid formed by revolving R around the x-axis is 6π, and the volume of the solid formed by revolving R around the line y = -2 is 10π, find the area of R.
Data from in Exercise 63
Consider the region R bounded by the graphs of y = ƒ(x) > 0, x = a > 0, x = b > a, and y = 0 (see accompanying figure). If the volume of the solid formed by revolving R about the x-axis is 4π, and the volume of the solid formed by revolving R about the line y = -1 is 8π, find the area of R.
0 a y = f(x) R b X
Step by Step Solution
3.37 Rating (156 Votes )
There are 3 Steps involved in it
Lets call the area of R as A For the first solid formed by revolving R around the xaxis we have V ab ... View full answer
Get step-by-step solutions from verified subject matter experts
