Intermediate Geometry : Spheres

Example Questions

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

If the volume of a sphere is , what is the sphere's exact radius?      Explanation:

Write the formula for the volume of a sphere: Plug in the given volume and solve for the radius, . Start by multiplying each side of the equation by :  Now, divide each side of the equation by :  Finally, take the cubed root of each side of the equation: Example Question #5 : How To Find The Radius Of A Sphere

Given the volume of a sphere is , what is the radius?      Explanation:

The equation for the volume of a sphere is: , where is the length of the sphere's radius.

Plug in the given volume and solve for to calculate the sphere's radius:   Example Question #6 : How To Find The Radius Of A Sphere

If the volume of a sphere is , what is the radius of the sphere?      Explanation:

The formula for the volume of a sphere is: , where is the sphere's radius.

Plug in the volume and solve for , the sphere's radius:    Example Question #7 : How To Find The Radius Of A Sphere

Find the radius of a sphere if the surface area is .      Explanation:

The formula for the surface area of a sphere is: Substitute the given value for the sphere's surface area into the equation and solve for to find the radius:   Example Question #8 : How To Find The Radius Of A Sphere

Find the radius of a sphere if its surface area is .      Explanation:

The surface area formula for a sphere is: , where is the sphere's radius.

Substitute the given value for the sphere's area into the equation and solve for to find the radius:   1 2 3 4 5 6 7 9 Next → 