# High School Math : How to find the volume of a polyhedron

## Example Questions

### Example Question #1 : How To Find The Volume Of A Polyhedron

Find the volume of the following half cylinder.       Explanation:

The formula for the volume of a half-cylinder is: where is the radius of the base and is the length of the height.

Plugging in our values, we get:  ### Example Question #2 : How To Find The Volume Of A Polyhedron

Find the volume of the following polyhedron.       Explanation:

The formula for the volume of the polyhedron is:   Where is the radius of the cone, is the height of the cone, and is the radius of the sphere.

Use the formula for a triangle to find the length of the radius:  Plugging in our values, we get:   ### Example Question #3 : How To Find The Volume Of A Polyhedron

Find the volume of the following polyhedron.       Explanation:

The formula for the volume of the polyhedron is:  where is the radius of the cone, is the height of the cone, is the radius of the cylinder, and is the height of the cylinder.

Use the formula for a triangle to find the length of the radius and height of the cone:  Plugging in our values, we get:  ### Example Question #8 : Other Polyhedrons

Find the volume of the following polyhedron.       Explanation:

The formula for the volume of the polyhedron is:  where is the radius of the polyhedron and is the height of the cone.

Use the formula for a triangle to find the length of the radius and height:  Plugging in our values, we get:   