Advertisements
Advertisements
Question
Choose the correct alternative:
The volume of solid of revolution of the region bounded by y2 = x(a – x) about the x-axis is
Options
πa3
`(pi"a"^3)/4`
`(pi"a"^3)/5`
`(pi"a"^3)/6`
Solution
`(pi"a"^3)/6`
APPEARS IN
RELATED QUESTIONS
Find by integration, the volume of the solid generated by revolving about the x-axis, the region enclosed by y = 2x2, y = 0 and x = 1
Find, by integration, the volume of the solid generated by revolving about the x axis, the region enclosed by y = e-2x, y = 0, x = 0 and x = 1
Find, by integration, the volume of the solid generated by revolving about the y axis, the region enclosed by x2 = 1 + y and y = 3
The region enclosed between the graphs of y = x and y = x2 is denoted by R. Find the volume generated when R is rotated through 360° about x-axis
Find, by integration, the volume of the container which is in the shape of a right circular conical frustum as shown in the Fig 9.46
A watermelon has an ellipsoid shape which can be obtained by revolving an ellipse with major-axis 20 cm and minor-axis 10 cm about its major-axis. Find its volume using integration
