Volume 2

Volume 2 focuses on the volume of spheres, cones, and cylinders. The lesson provides instruction on each of these objects. Students will learn how to identify these types of objects. They will also recognize what makes them similar to each other. They all have a circle somewhere on the shape, for instance. This means that the formulas to find their volume all contain Pi.

You may choose to adjust the lesson based on students’ comprehension level. Perhaps they could solve for a specific measurement using a known volume. Alternatively, you can repeat the activity portion several times to give students more practice time. There is a lot of room for creativity, for you and your students!

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In Volume 2, students will learn how to find the volume of cones, spheres, and cylinders. The lesson provides the formulas for finding the volume of each of these shapes. You can start off the lesson displaying objects of these shapes (or pictures of them). Ask the students what these objects have in common. You can then explain the concept of Pi. The formulas for each of the objects in the lesson require using Pi to find the volume.

This lesson will reference information on volume that students already learned. However, it will expound specifically on the volume of objects with curved lines. You could teach this lesson in conjunction with finding the volume of cubes, pyramids, and rectangular solids.

What Volume 2 includes

Students will have many chances to practice during this lesson. The content itself illustrates that there is more than one way to write the formulas. The content pages will illustrate each of the three objects. First, you will teach students about cylinders and how to identify them. Next, you will discuss cones and share examples of conical shapes. Last, you will describe spheres and how to find their volume. By the end of the lesson, students should know how to find the volume of these types of objects.


The activity allows students a chance to demonstrate their understanding of the objects. Students will have to draw four of each object and provide dimensions. Next, they will find the volume of each of their objects to make an answer key. Then they will exchange their drawings with other students, and they will solve each others’ volumes.

You may want to adjust the activity depending on the comprehension level of your students. You could have them solve for a missing measurement using a known volume.


The practice worksheet provides 12 different shapes, each with different measurements. Students will have to find the volume for all 12 objects.


The homework requires students to solve five different word problems. For some, they may need to draw the object from the word problem and mark its dimensions. There will not be a figure to reference. Once they’ve drawn the object, they can use the measurements to find its volume.

Additional information


5th Grade, 6th Grade



State Educational Standards

LB.Math.Content.5.MD. C.3, LB.Math.Content.5.MD. C.4, LB.Math.Content.5.MD. C.5, LB.Math.Content.6.EE. A.2.C, LB.Math.Content.6.G.A.2

Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.