Question

Calculate the volume of the solid generated by rotating the
region bounded by the curves

x = 2y^2 and x = y^2 + 1 about the line y = -2

Answer #1

Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
y = 5x4, y = 5x, x ≥
0; about the x-axis
Find the area of the region enclosed by the given curves.
y = 3 cos(πx), y = 12x2 −
3
Find the volume V of the solid obtained by rotating the
region bounded by the given curves about the specified line.
2x = y2, x = 0, y =
5; about the...

find the volume of the solid obtained by rotating the
region bounded by rotating the region bounded by the given curves
about the line x=-8.
y=x^2, x=y^2

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line.
a) y = sin x − 2(x − 1)2 + 2(π − 1)2 , y =
0, about the x axis.

Find the volume of the solid generated by rotating the region
bounded by the graphs of the equations about the line y=5
y=1/3x2-1/3, y=5, x=0

Determine the volume of the solid generated by rotating the
region bounded by the function f(x)=√x, the x-axis, x=5
and x=7
(a) about the x-axis.
(b) about the y-axis
(c) about the line y=-2

Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis. y = x 2 , y =
1 about y = 6.

find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line. y=sqrt x-4 ,
y=0 and x=9 rotated about the x axis

What is the volume of the solid obtained by rotating the region
bounded by the
curves y = −x^2 + 4x − 3 and y = 0 rotated about the y-axis?

1- Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
?= 64x− 8x^2, y=0;
about the y-axis
2- Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified axis.
y= 5+ 1/x^2, y= 5, x=2, x=9;
about the x-axis.

Find the volume of the solid obtained by rotating the region
bounded by the given curves: y = x(x - 1)^2 ,y = 0, about the
y-axis. Enter your answer accurate to four decimal places.

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