Lesson Plan
Illustrative Mathematics

Radius of a Cylinder

For Teachers 8th - 12th Standards
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...
Assessment
Mathed Up!

Volume and Surface Area of a Cylinder

For Students 7th - 10th Standards
The measurements are all in the can. The review for the math portion of the General Certificate of Secondary Education assessments provides scholars the opportunity to review finding volume and surface area of a cylinder. Pupils work on...
Lesson Plan
Virginia Department of Education

Surface Area and Volume of a Cylinder

For Teachers 7th Standards
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Lesson Plan
EngageNY

Volume of a Sphere

For Teachers 8th Standards
To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...
Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Lesson Plan
Curated OER

The Molar Volume of a Gas

For Teachers 9th - 12th
Students find the standard molar volume of a gas. In this molar volume of a gas lesson plan, students react magnesium metal and hydrochloric acid and collect the hydrogen gas produced using a gas collection tube. Students calculate the...
Lesson Plan
Curated OER

Volume of a Cylinder

For Teachers 8th - 10th
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
Handout
Charleston School District

Volume of Rounded Objects

For Students 8th - 10th Standards
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
Handout
Charleston School District

Volume of Composite Shapes

For Students 8th - 10th Standards
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the...
Instructional Video7:11
HeyMath!

Volume of Pyramid

For Teachers 6th - 11th Standards
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
Lesson Plan
Curated OER

Determining the Density of a Liquid

For Teachers 8th - 10th
Students find the density of diet soda and regular soda. In this density lesson plan, students measure the mass of a graduated cylinder with 10 different volumes of each soda. They find the mass of the liquid alone and use the volume to...
Lesson Plan
Curated OER

Volume of Pyramids and Cones

For Teachers 9th - 12th
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones activity, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
Lesson Plan
EngageNY

Volumes of Familiar Solids – Cones and Cylinders

For Teachers 8th Standards
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Lesson Plan
EngageNY

The Volume Formula of a Pyramid and Cone

For Teachers 9th - 10th Standards
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
Lesson Plan
EngageNY

Volume of Composite Solids

For Students 8th Standards
Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.
Lesson Plan
Curated OER

Exploring Volume of Cylinders

For Teachers 10th
Tenth graders investigate the volume of a cylinder.  In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions.  The lesson progresses to the use of the formula to find...
Lesson Plan
Curated OER

Volume of Solids: Algebra/Geometry Institute

For Teachers 7th - 9th
Use this volume of solids lesson plan to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
Activity
Yummy Math

Penny Wars

For Teachers 6th - 10th Standards
As the saying goes, a penny saved is a penny earned. Young scholars use a penny activity to earn their way to an understanding of volume. Given three different-sized cylindrical containers, individuals make calculations to determine the...
Worksheet
Curated OER

Volume of Cylinders and Cones

For Students 7th - 8th
Line drawings of a circle, a cylinder, and a cone at the top of the page contain the formulae for area and volume of each shape. Learners complete the missing information in a chart that lists diameter, radius, height, and area and...
Interactive
CK-12 Foundation

Linear Equations: Deep Dish Pizza

For Students 6th - 9th Standards
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.