Final: The Paint Can

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 60 of 60.

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.

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?

All lessons in Surface Area & Volume

2Solids and Their Parts

Faces, Edges and Vertices Height or Slant Height?Recap: Parts of Solids

5Cones

Volume of a Cone A Third of a Cylinder The Slant of a Cone From Slant to Volume Recap: Cones

8Surface Area of Cylinders

Unrolling a Cylinder Height From the Surface Radius From the Surface Enough for the Volume?Recap: Cylinder Surfaces

11Mixed Solids

Solids From Solids A Spinning Top Which Lengths?Letters in the Lengths Recap: Mixed Solids

3Cylinders

Volume of a Cylinder Height From the Volume Radius From the Volume Enough to Find It?Recap: Cylinders

6Spheres and Hemispheres

Volume of a Sphere Half a Sphere Radius From the Volume Sphere in a Cylinder Recap: Spheres

9Pyramids and Cones Outside

Surface of a Pyramid Slant Height First Surface of a Cone The Cone: Slant First Recap: Pyramid Surfaces

12Final Challenges

Final: The Clay Cone Final: The Water Tank Final: The Model Pyramid Final: The TentFinal: The Paint Can