Volume Formulas for Cylinders, Cones and Spheres
Written by Adi Ackerman, Head Teacher
"Volume Formulas for Cylinders, Cones and Spheres" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.G.C.9. It also works a grade below or above, as a tool for a student who is ready for it or a quick refresher for an older one.
8th grade math resource: formulas and worked examples for cylinder, cone and sphere volume, each using 3.14 for pi. Part of our volume of cylinders, cones and spheres geometry collection. Aligned to Common Core standards.
How do I use this resource?
Hand out the formula reference first, then move from cylinders to cones to spheres. Use the mixed and missing dimension sheets for review before a test.
What students will practice
- Students will review the volume formulas for a cylinder, a cone and a sphere.
- Students will follow a worked example of each formula with 3.14 for π.
- Students will recall to halve a diameter and to give volume in cubic units.
Name Angle Pairs Formed by a Transversal
Find Angles on Parallel Lines Cut by a Transversal
Solve for x With Transversal Angle Pairs
Triangle Angle Sum, Find the Missing Angle
Why Triangle Angles Sum to 180 Degrees
Quadrilateral Angle Sums From Two Triangles
Triangle Interior Angles, Solve for the Variable
Exterior Angle of a Triangle, Find the Measure
Curriculum Links
Common Core State Standards
Geometry · 8th Grade
Standard: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
View all 8.G.C.9 worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use the Volume Formulas for Cylinders, Cones and Spheres?
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Hand out the formula reference first, then move from cylinders to cones to spheres. Use the mixed and missing dimension sheets for review before a test.
What are the Volume Formulas for Cylinders, Cones and Spheres?
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Formulas and worked examples for cylinder, cone and sphere volume, each using 3.14 for pi.
Can I use the Volume Formulas for Cylinders, Cones and Spheres at home and in the classroom?
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Yes. We made it for 8th Grade geometry, and it works the same at home or at school. At home a student can print it and keep it with their school work. Teachers print a copy per student or one for the whole room, whichever the day needs.
What is the formula for the volume of a cone?
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V = ⅓πr²h, one third of the volume of a cylinder with the same base and height. A cone with r = 3 in and h = 5 in has a volume of about 47.1 in³. Volume of Cones, Radius and Height Given has eight cones to practice.
How do you find the volume of a sphere?
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Cube the radius, multiply by π and then by 4/3. If you are given the diameter, halve it first. Volume of Spheres From the Radius mixes radius and diameter problems.
How do you find a missing height from a cylinder's volume?
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Substitute the volume and the radius into V = πr²h and solve for h. With r = 3 cm and V = 72π cm³, 9πh = 72π, so h = 8 cm. Find a Missing Dimension From the Volume practices this.
What is a composite solid?
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It is a solid made of simpler parts, such as a cylinder with a cone on top. Find each part's volume and add them. Volume of Composite Solids With Curves has four such solids.
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Name Angle Pairs Formed by a Transversal
Find Angles on Parallel Lines Cut by a Transversal
Solve for x With Transversal Angle Pairs
Triangle Angle Sum, Find the Missing Angle
Why Triangle Angles Sum to 180 Degrees
Quadrilateral Angle Sums From Two Triangles
Triangle Interior Angles, Solve for the Variable
Exterior Angle of a Triangle, Find the Measure