Menu
Search
Search
Don't lose your points!
Sign up and save them.
Sign up no thanks

Online College Courses

Online College Courses

All About Our Courses

Free Educational Resources

Teachers

Teachers

Classroom Resources
FREE Professional Development
Succeed with any tool, any platform, any software with PD courses from Teacher Professional Development
Students

Students

ACT Test Prep
Homework Help
Fun Self-Discovery Tools
+
Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Rating:
Rating
(1)
    • (0)
    • (0)
    • (0)
    • (0)
    • (1)
Author: Leif Park Jordan
Description:

  1.  

    Derive and apply the formula for finding the volume of prisms and cylinders, being sure to discuss units.

  2.  

    Provide practice examples solving for the volume of prisms and cylinders, reviewing how to report answers in terms of pi () for cylinders

 

This packet should help a learner seeking to understand how to find the volume of prisms and cylinders.

(more)
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

28 Sophia partners guarantee credit transfer.

263 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

Volume of a Cube

This video explains how to find the volume of a cube.

open player in a new window

Source: JoeBaxter on Guaranteach

Volume of a Right Rectangular Prism

This video explains how to find the volume of a rectangular prism.

open player in a new window

Source: JoeBaxter on Guaranteach

Volume of Other Prisms

This video explains how to find the volume of prisms other than right rectangular prisms.

open player in a new window

Volume of a Right Circular Cylinder

This video explains how to find the volume of a right circular cylinder.

open player in a new window

Source: JoeBaxter on Guaranteach

Derivation of the Formula for the Volume of a Cylinder

Once one understands how to find the volume of a prism, the derivation of the volume of a cylinder is fairly trivial. Cylinders are, essentially, just prisms with a circular base, so finding the volume of a cylinder is just like finding the volume of a cylinder.

The formula for the volume of a prism is V = B * h, where V is volume, B is the area of the base, and h is the height of the prism. The base of a cylinder is a circle, which has area πr2. Height, obviously, is the same in a cylinder as it is in a prism. By substituting πr2 for B in the formula for the volume of a prism, we arrive at the formula for the volume of a cylinder:

V = πr2h.

Comparison Between Cylinders and Prisms

Volume of an Oblique Circular Cylinder

This video explains how to find the volume of an oblique circular cylinder.

open player in a new window

Source: JoeBaxter on Guaranteach

Get your feet wet or dive right in Create Account
© 2017 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC.