The region in the first quadrant bounded by the line `3x+2y =7` and the coordinate axes is rotated about the x-axis .What is the volume of the resulting solid ?

Find the area of the region in the first quadrant bounded by x - axis, the line y = x and the circle x^2 + y^2 = 18 .

If the region bounded by the lines y=-4/3x+4 , x=0 , and y=0 is rotated about the y-axis, the volume of the figure formed is

The area (in sq. units) of the region in the first quadrant bounded by y=x^(2), y=2x+3 and the y - axis is

The area (in sq. units) of the region in the first quadrant bounded by y=x^(2), y=2x+3 and the y - axis is

If the segment of the line y=-2x+2 that lies in quadrant I is rotated about the y-axis , a cone is formed . What is the volume of the cone ?

Let A be the area of the region in the first quadrant bounded by the x-axis the line 2y = x and the ellipse (x^(2))/(9) + (y^(2))/(1) = 1 . Let A' be the area of the region in the first quadrant bounded by the y-axis the line y = kx and the ellipse . The value of 9k such that A and A' are equal is _____

Find the area of the region if the first quadrant bounded by the parabola y^(2)=4x , the line x+y=3 and y-axis.

The plane region bounded by the curve y=sqrt(cosx), 0 le x le (pi)/(2) and the lines x=0,y=0 is rotated about x-axis. The volume of solid formed is :