Calculating Volume using Integrals - Page 7

Questions
  • How do you find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis #y=7x^2#, x =1, y =0, about the x-axis?
  • How do you find the volume of the solid with base region bounded by the curve #y=1-x^2# and the #x#-axis if cross sections perpendicular to the #y#-axis are squares?
  • How do you find the volume of the solid generated when the regions bounded by the graphs of the given equations #y = sqrt (3 - x^2)#, x=0, x=1 and the x-axis are rotated about the x-axis?
  • How do you find the volume of the solid with base region bounded by the curve #y=e^x#, #y=ln4#, and the #y#-axis if cross sections perpendicular to the #y#-axis are squares?
  • The region under the curves #y=x^-2, 1<=x<=2# is rotated about the x axis. How do you find the volumes of the two solids of revolution?
  • The region in the first quadrant enclosed by the graphs of #y=x# and #y=2sinx# is revolved about the x-axis, how do you find the volume of the solid generated?
  • How to calculate average pressure as volume changes via intergration?
  • I'm a bit confused with finding the volume between two curves?