Final: The Clay Cone

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 56 of 60.

A potter makes a solid clay cone. Its base has radius 4, and when it is glazed all over, base included, the glaze covers 36π square centimetres. The potter wants to know how much clay the cone holds.

The figure gives the radius and the surface area. Neither the slant height nor the height is labelled.

Challenge

The clay cone has radius 4 and surface area 36π. Find its volume, then press Check.

Try it yourself

$Find the marked part of the figure$

Find the marked part of the figure

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 ConeFinal: The Water Tank Final: The Model Pyramid Final: The Tent Final: The Paint Can