# Common Core: High School - Geometry : Cylinders, Pyramids, Cones, and Spheres Volume Formulas: CCSS.Math.Content.HSG-GMD.A.3

## Example Questions

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### Example Question #1 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Explanation:

Before we find the volume of a sphere, we need to recall the equation.

Since we are given the radius (), we can plug it into the equation.

Thus the volume is,

Here is a picture representation of the sphere.

### Example Question #2 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Explanation:

Before we find the volume of a sphere, we need to recall the equation.

Since we are given the radius (), we can plug it into the equation.

Thus the volume is,

Here is a picture representation of the sphere.

### Example Question #2 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Explanation:

Before we find the volume of a sphere, we need to recall the equation.

Since we are given the radius (), we can plug it into the equation.

Thus the volume is,

Here is a picture representation of the sphere.

### Example Question #3 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the volume of a sphere, where the radius is .

Explanation:

Before we find the volume of a sphere, we need to recall the equation.

Since we are given the radius (), we can plug it into the equation.

Thus the volume is,

Here is a picture representation of the sphere.

### Example Question #5 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Explanation:

Before we find the radius of a sphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture representation of our sphere.

### Example Question #4 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the radius of a hemisphere, where the volume is .

Explanation:

Before we find the radius of a hemisphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture of the hemisphere.

### Example Question #5 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the radius of a hemisphere, where the volume is

Explanation:

Before we find the radius of a hemisphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture representation of the hemisphere.

### Example Question #6 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the radius of a hemisphere, where the volume is .

Explanation:

Before we find the radius of a hemisphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by  on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture of what the hemisphere look like.

### Example Question #9 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the radius of a hemisphere, where the volume is .

Explanation:

Before we find the radius of a hemisphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by  on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture of the hemisphere.

### Example Question #7 : Cylinders, Pyramids, Cones, And Spheres Volume Formulas: Ccss.Math.Content.Hsg Gmd.A.3

Find the radius of a sphere, where the volume is .

Explanation:

Before we find the radius of a sphere, we need to recall the equation.

Since we are given the volume (), we can plug it into the equation.

Now we can solve for .

Now we divide by  on each side.

Now our equation is

To solve for , we need to take the cube root on each side.

Here is a picture of the sphere.

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