Curriculum placement
Grade 8. This describes the skill, not a learner estimate.
Volume of cylinders, cones, and spheres
Find volumes of cylinders cones and spheres
Problem types
- Select how scaling a cylinder changes its volume
- Cylinder volume
- Cone and sphere volume
- Fill in the cylinder volume equation
- Radius or diameter of a sphere from its volume
Builds on
- Circumference and area of a circle
- Volume of a rectangular prism
- Cavalieri's principle · Useful idea
Equal cross-sections explain why the volume of a cone and a sphere follow from simple comparisons.
- Mass and liquid volume · Useful idea
The volume of liquid that fills a cylinder is found with the cylinder volume formula and read in liquid-volume units.
Leads to
- Modeling with geometry
- Volumes of cylinders, cones, pyramids, spheres
- Cross-sections and solids of revolution · Extend the idea
Volumes of cylinders, cones and spheres are explained as solids of revolution.
Related skills
- Why the circle and solid formulas hold · Shared foundations
- Arc length and sector area · Shared foundations
- Volume with fractional edge lengths · Shared foundations
- Surface area of prisms and pyramids · Shared foundations
Open the interactive map to explore lessons and skill connections.