Question
Asked Sep 23, 2019

Consider the solid obtained by rotating the region bounded by the given curves about the line x = -6.

y=x2, x=y2

Find the volume V of this solid.

check_circleExpert Solution
Step 1

Given, function

fullscreen
Step 2

Finding intersection point,

x(x*)
x -x=0
(x)0
{Take xcommon}
{a-b (a-b)(a + ab+b°)}
x(x-1)x +x +1) 0
x0,(x-)0, (x2 +x+1)= 0
x 0andx 1
Intersecting Points are (0,0) and (1,1)
help_outline

Image Transcriptionclose

x(x*) x -x=0 (x)0 {Take xcommon} {a-b (a-b)(a + ab+b°)} x(x-1)x +x +1) 0 x0,(x-)0, (x2 +x+1)= 0 x 0andx 1 Intersecting Points are (0,0) and (1,1)

fullscreen
Step 3

Applying ring ...

r=6+ y2
R =6 y
6
V
R 6+ y,r 6+y
help_outline

Image Transcriptionclose

r=6+ y2 R =6 y 6 V R 6+ y,r 6+y

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Calculus

Integration