# Volumes of solid with known cross-sections

## Everything You Need in One PlaceHomework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. | ## Learn and Practice With EaseOur proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals. | ## Instant and Unlimited HelpOur personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now! |

#### Make math click 🤔 and get better grades! 💯Join for Free

Get the most by viewing this topic in your current grade. __Pick your course now__.

##### Intros

##### Examples

###### Lessons

- A solid has a base bounded by $y=- {x\over2}+1$, $x=-2$,and $x=1$. If the parallel cross-sections perpendicular to the base are squares, find the volume of this solid.
- A solid has a base bounded by these two curves, y= sin x, y= cos x. If the parallel cross-sections perpendicular to the base are equilateral triangles, find the volume of this solid.