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- Standard: CCSS 8.G.C.9
- Unit: 8th Grade → Unit 6: Pythagorean Theorem, Angles & Volume
- Grade: 8th Grade
Learning Objectives
After this lesson, students will be able to:
- Know the formulas for the volume of cylinders, cones, and spheres
- Calculate the volume of cylinders, cones, and spheres
- Apply the concept of volume to real-life situations, such as measuring the volume of paint in a can.
Prerequisites
Before this lesson, students should be familiar with:
- Basic multiplication and division skills
- How to evaluate exponents (powers of 2 and 3)
- Basic understanding of fractions and decimals (optional, but helpful)
Materials
- Pencils
- Colored pencils or markers
- Volume of Cylinders, Cones, & Spheres Guided Notes
Key Vocabulary
- Volume
- Cubic Units
- Cylinder
- Cone
- Sphere
- Exponents
- Radius
Procedure
Introduction
As a hook, ask students why it is important to be able to calculate the volume of objects like cylinders, cones, and spheres. Refer to the last page of the guided notes as well as the FAQs below for ideas.
Use the guided notes to introduce the concept of finding volume of cylinders, cones, and spheres. Walk through the key points of the topic of the guided notes to teach. Refer to the FAQ below for a walk through on this, as well as ideas on how to respond to common student questions.
Have students walk through the “Volume Practice” section. Call on students to talk through their answers, potentially on the whiteboard or projector. Based on student responses, reteach concepts that students need extra help with.
Based on student responses, reteach concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.
Practice
Have students practice finding the volume of cylinders, cones, and spheres using the Doodle Math activity. Walk around to answer student questions.
Fast finishers can dive into the maze for extra practice. You can assign it as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of measuring the volume of paint in a can. Explain how understanding the volume of the can and the amount of paint inside can help determine how much paint is needed for a project, and how it can save time and money by avoiding over-purchasing paint.
Refer to the FAQs below for more ideas on how to teach this real-life application.
Extensions
Additional self-checking digital practice
If you’re looking for digital practice for volume calculations of cylinders, cones, and spheres, try the Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun and a powerful tool for differentiation.
Additional print practice
A fun, no-prep way to practice volume calculations of cylinders, cones, and spheres is Doodle & Color by Number — they’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
FAQs
The formula for finding the volume of a cylinder is pi times the radius squared times the height of the cylinder.
The formula for finding the volume of a cone is one-third times pi times the radius squared times the height of the cone.
The formula for finding the volume of a sphere is four-thirds times pi times the radius cubed.
Knowing how to calculate the volume of objects like cylinders, cones, and spheres is important in many real-life situations, such as measuring the volume of paint in a can or calculating the volume of objects such as traffic cones, and even megaphones.
Cubic units are units of measurement used to measure the volume of objects in three-dimensional space.
An exponent is a mathematical notation that indicates the number of times a quantity is multiplied by itself.