High School Math : Geometry

Example Questions

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Example Question #2 : How To Find The Diameter Of A Sphere

The volume of a sphere is . What is the diameter?

Explanation:

To find the diameter of the sphere, we need to find the radius.

The volume of a sphere is .

Plug in our given values.

Notice that the 's cancel out.

The diameter is twice the radius, so .

Example Question #3 : How To Find The Diameter Of A Sphere

If the surface area of a sphere is , find the diameter of this sphere.

Explanation:

The standard equation to find the surface area of a sphere is

where  denotes the radius. Rearrange this equation in terms of :

Substitute the given surface area into this equation and solve for the radius and then double the radius to get the diameter:

Example Question #4 : How To Find The Diameter Of A Sphere

Given that the volume of a sphere is , find the diameter.

Explanation:

The standard equation to find the volume of a sphere is

where  denotes the radius. Rearrange this equation in terms of :

Substitute the given volume into this equation and solve for the radius. Double the radius to find the diameter:

Example Question #5 : How To Find The Diameter Of A Sphere

What is the diameter of a sphere with a volume of ?

Explanation:

The volume of a sphere is determined by the following equation:

Example Question #691 : Geometry

Find the radius of a sphere whose surface area is .

Not enough information to solve

Explanation:

We know that the surface area of the spere is .

Rearrange and solve for .

Example Question #692 : Geometry

What is the radius of a sphere that has a surface area of ?

Explanation:

The standard equation to find the area of a sphere is  where  denotes the radius. Rearrange this equation in terms of :

To find the answer, substitute the given surface area into this equation and solve for the radius:

Example Question #693 : Geometry

Given that the volume of a sphere is , what is the radius?

Explanation:

The standard equation to find the volume of a sphere is

where  denotes the radius. Rearrange this equation in terms of :

Substitute the given volume into this equation and solve for the radius:

Example Question #694 : Geometry

What is the radius of a sphere with a volume of ?