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Final: The Water Tank

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 57 of 60.

A farm's water tank is a cylinder with radius 5 metres. When it is full it holds 175π cubic metres of water. How tall is the tank?

The figure gives the radius and the volume, with the height as h.

challenge icon

Challenge

The tank has radius 5 and holds 175π. Write the equation from the figure and solve it for its height h.

Then press Check.

Try it yourself

Use the figure to find h

Use the figure to find h

All lessons in Surface Area & Volume

1Volume of Prisms

Volume of a CuboidDouble Every EdgeVolume of a PrismAny Triangle EndA Missing EdgeRecap: Prism Volume

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

2Solids and Their Parts

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

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