Saturday

March 28, 2015

March 28, 2015

Posted by **mike** on Sunday, October 28, 2012 at 6:42pm.

The solid whose base is the region and whose cross-sections perpendicular to the x-axis are squares.

- calculus -
**MathMate**, Sunday, October 28, 2012 at 7:12pm"The solid whose base is the region and whose cross-sections perpendicular to the x-axis are squares."

means that z=2y

but since y=2sqrt(1-x^2) (on the circle), so z=2sqrt(1-x^2)

For example, at x=0, z=1,

at x=1, z=0.

The volume of the solid is then

∫∫∫dx dy dz

where the limits of integration are

for z: 0 to 2sqrt(1-x^2)

for y: -sqrt(1-x^2) to sqrt(1-x^2)

for x: -1 to 1

**Answer this Question**

**Related Questions**

calculus - Find the volume of the solid whose base is the region bounded between...

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 ...

Calculus - Find the volume of the solid whose base is the region bounded by y=x^...

Calculus - The functions f and g are given by f(x)=√x and g(x)=6-x. Let R ...

calculus - volume of solid whose base is a circle with radius a, and cross ...

Calculus - This problem set is ridiculously hard. I know how to find the volume ...

calculus - Find the volume of the solid whose base of a solid is the region ...

calculus - Find the volume of the solid whose base of a solid is the region ...