- #1

jisbon

- 476

- 30

- Homework Statement
- Base of solid is the region bounded by graphs ##y= \sqrt x## and ##y=x/2##. The cross sections perpendicular to the x axis are squares whose sides run across the base of the solid. Find volume of solid.

- Relevant Equations
- -

**Homework Statement:**Base of solid is the region bounded by graphs ##y= \sqrt x## and ##y=x/2##. The cross sections perpendicular to the x-axis are squares whose sides run across the base of the solid. Find volume of solid.

**Homework Equations:**-

As stated above, I will want to calculate the coordinates of the two graphs intersecting, and found them to be x=0 and x=4. However, the equation ## \pi \int_{0}^{4} (\sqrt x - x/2) ^2##seems to be wrong. Referring to my answer key, the answer was simply## \int_{0}^{4} (\sqrt x - x/2)^2## without the pi. Why is this so? Thanks