Sunday

February 1, 2015

February 1, 2015

Posted by **Jack** on Sunday, November 21, 2010 at 8:20pm.

(a) Perpendicular to the x-axis (rectangles)

(b) Perpendicular to the y-axis (triangles)

(c) Perpendicular to the z-axis (rectangles)

- Calculus -
**MathMate**, Sunday, November 21, 2010 at 9:29pmWe do not see the figure, but could probably help anyway.

Along whichever axis you do the integration, the method is to cut up the volume into slices perpendicular to the x-axis, say. Each slice is of thickness dx and the width and height will be a function of y and z, which should in turn be transformed to a function of x. Do the integration along the x-axis and find the volume.

You can proceed in a similar way along the two other axes. The resulting volumes should, of course, be identical.

**Answer this Question**

**Related Questions**

Math - Calculate the volume of the ramp in Figure 17 in three ways by ...

calc - The base of a three-dimensional figure is bound by the line y = 6 - 2x on...

Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...

Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...

Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...

calc - What is the volume of the solid with given base and cross sections? The ...

calculus - find the volume of the solid whose base is bounded by the graphs of y...

College Calculus - Find the volume of the solid with given base and cross ...

calculus - #3 A solid has a base in the form of the ellipse: x^2/25 + y^2/16 = 1...

math - ind the volume of the solid whose base is bounded by the graphs of y= x+1...