calculus
posted by Lauren
Rotate the region enclosed by the given functions around the xaxis. Determine the volume.
y=sqrt(sinx) ; y=0 ; x=0 ;x=pi
limits are 0 to pi

Reiny
vol = π∫y^2 dx from x=0 to π
= π∫sinx dx from 0 to π
= π [cosx] from 0 to π
= π (cosπ  (cos0) )
= π (1 + 1)
= 2π
Respond to this Question
Similar Questions

Calculus
Determine the volume of the solid abtained when the region bounded by y=sqrt x and the line Y=2 and x=0 is rotated: (i) about the xaxis (ii) about the line x=4. (i) Each element of the body of revolution with thickness dx, has area … 
Calculus
1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x6x^2 … 
Calculus
This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of … 
Calculus
I'm having trouble with the following problem: Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, … 
Calc
What is the volume of the solid generated by rotating about the yaxis the region enclosed by y=sinx and the xaxis, from x=0 to x=π? 
calculus
Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the yaxis. Rotate the … 
calculus
Rotate the region enclosed by the given functions around the xaxis. Determine the volume. y=x^2+2x+1 and y=2x+5 limits are 2 and 2 
Calculus check
The functions f and g are given by f(x)=sqrt(x^3) and g(x)=162x. Let R be the region bounded by the xaxis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but … 
Math (Calculus II) (Volume Revolution Setup)
Take the area enclosed by the curves y = sqrt(x), y = 1, and x = 4. Rotate it around the line x = 5. Find the volume. While I understand the general problem would call for the shell method ∫[a,b] 2*pi*r*h dx With r = 5  x and h … 
Multiplevariable calculus
Hello, I have to find the volume of the region enclosed by the paraboloid z=(x^2)+(y^2) and the planes z=1 and z=3 , so well i am struggling about the limits of each integral. I know that I can use cylindrical coordinates, but what …