Display Title
Math Example--Volume Concepts--Calculating Volume: Example 23
Display Title
Math Example--Volume Concepts--Calculating Volume: Example 23
Topic
Volume
Description
A cone with a height of 12 and a radius of 4. The image shows how to calculate its volume using the cone volume formula (V = 1/3 * π * r2 * h). This image illustrates Example 23: Find the volume of a cone. The formula used is V = (1/3) * π * r2 * h, where r = 4 and h = 12. Substituting these values gives V = (1/3) * π * (42) * 12 = 64π.
Volume is a fundamental concept in geometry that helps students understand the space occupied by three-dimensional objects. In this collection, each example uses various geometric shapes to calculate volume, showcasing real-life applications of volume in different shapes.
Seeing multiple worked-out examples allows students to observe different approaches and nuances in calculations, which reinforces their understanding of volume across shapes.
Teacher's Script: Observe this example carefully. Notice the steps taken to find the volume of this particular shape. Can you see how each dimension--length, width, and height--plays a role in determining the overall volume? How might you apply this to other shapes?
For a complete collection of math examples related to Volume click on this link: Math Examples: Volume Collection.
| Common Core Standards | CCSS.MATH.CONTENT.6.G.A.2, CCSS.MATH.CONTENT.7.G.B.6, CCSS.MATH.CONTENT.8.G.C.9, CCSS.MATH.CONTENT.5.MD.C.4, CCSS.MATH.CONTENT.5.MD.C.5.A, CCSS.MATH.CONTENT.5.MD.C.5.B, CCSS.MATH.CONTENT.5.MD.C.5.C |
|---|---|
| Grade Range | 5 - 8 |
| Curriculum Nodes |
Geometry • Surface Area and Volume • Volume |
| Copyright Year | 2013 |
| Keywords | volume |
