In this video lesson we will learn how to find the volume of a cone. We will discover that a cone is one-third the volume of a cylinder with the same radius and height. We will use the formula to find the volume of a cone given the radius and height. We will also find the volume of a cone when given the diameter and the height. We will understand that the radius is half the diameter. We will also find the height when given the volume and radius of a cone. We will find the radius when given the volume and height of a cone. We will also solve a real world problem involving the volume of a cone. Student Practice is embedded in the lesson with modeled exemplar solutions.
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00:00 Introduction
00:41 What is a Cone?
01:41 Relationship: Cylinders and Cones
02:53 Ratio of Volumes 1:3
04:14 Formula for Volume of a Cone
04:48 Using the Formula to Find Volume of a Cone
06:05 Student Practice #1
07:03 Find the Volume of a Cone Given Diameter
08:19 Student Practice #2
09:25 Find the Height of a Cone
10:39 Student Practice #3
12:30 Find the Radius of a Cone
14:05 Student Practice #4
15:27 Real World Practice #5
8.G.C.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.