Math Example--Volume Concepts--Calculating Volume: Example 24

Topic

Volume

Description

A cone with a height labeled as y and a radius labeled as x. The image shows how to calculate its volume using the cone volume formula (V = 1/3 * π * r² * h). This image illustrates Example 24: Find the volume of a cone. The formula used is V = (1/3) * π * r² * h, where r = x and h = y. Substituting these variables gives V = (x^2 * y)/3 * π.

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.