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Final: The Paint Can

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 62 of 62.

A sealed paint can is a cylinder 9 cm tall. Its metal, lid and bottom included, has an area of 72π cm². The label does not give the radius. Is there enough to work out how much paint the can holds?

Decide first, then, if you can, find the volume.

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Challenge

The can is 9 tall and its surface area is 72π. Is there enough to find its volume? Answer, and if Yes, find it. Then press Check.

Try it yourself

Is there enough information?

Is there enough information?

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Surface Area & Volume

1Solids and Their Parts

Faces, Edges and VerticesPrisms and CylindersPyramids and ConesHeight or Slant Height?Spheres and HemispheresRecap: Parts of Solids

4Pyramids

Volume of a PyramidThe Slant HeightHeight From the SlantHeight From the VolumeRecap: Pyramids

7Surface Area of Prisms

Nets and Surface AreaVolume or Surface Area?A Missing Edge AgainTriangular PrismsThe Hidden Side FirstRecap: Prism Surfaces

10Spheres Outside

Surface of a SphereSurface of a HemisphereRadius From the SurfaceSurface to VolumeRecap: Spheres Outside

2Volume of Prisms

Volume of a CuboidVolume of a PrismAny Triangle EndA Missing EdgeRecap: Prism Volume

5Cones

Volume of a ConeA Third of a CylinderThe Slant of a ConeFrom Slant to VolumeRecap: Cones

8Surface Area of Cylinders

Unrolling a CylinderHeight From the SurfaceRadius From the SurfaceEnough for the Volume?Recap: Cylinder Surfaces

11Mixed Solids

Solids From SolidsA Spinning TopWhich Lengths?Letters in the LengthsRecap: Mixed Solids

3Cylinders

Volume of a CylinderHeight From the VolumeRadius From the VolumeEnough to Find It?Recap: Cylinders

6Spheres and Hemispheres

Volume of a SphereHalf a SphereRadius From the VolumeSphere in a CylinderRecap: Spheres

9Pyramids and Cones Outside

Surface of a PyramidSlant Height FirstSurface of a ConeThe Cone: Slant FirstRecap: Pyramid Surfaces

12Final Challenges

Final: The Clay ConeFinal: The Water TankFinal: The Model PyramidFinal: The TentFinal: The Paint Can