# What is the formula for a sphere?

lemjay | Certified Educator

Take note that a sphere is a round three dimensional figure. All points on the surface of a sphere are the same distance from the center. The distance from the center of a sphere to its surface is called the radius.

Example of objects that have a shape of a sphere are marbles and basketballs.

To compute for the surface area of the sphere, use the formula:

`A = 4pir^2`

And to compute for its volume, apply the formula:

`V =4/3pir^3`

baxthum8 | Certified Educator

The formulas for a sphere are as follows:

Surface area = `4pir^2`

`Volume = 4/3pir^3`

`where r is the radius of the sphere. `

` `

chrisyhsun | Student

I see that previous answers have provided equations for the surface area and volume of a sphere. I thought I would add to the answers above by writing about the equation for the points that compose a sphere in 3 dimensions. The equation for this is remarkably similar to the equation for a circle in 2 dimensions (for good reason, as slicing a sphere gives you a circle regardless of how it is cut). The equation for a sphere is (x – a)^2 + (y – b)^2 + (z – c)^2 = r^2 for a sphere with its center at point (a, b, c) and radius of length r on a standard x-y-z graph. (Compare this to the (x – a)^2 + (y – b)^2 = r^2 for a circle with center at (a, b) and radius of length r). Like a circle, this equation shows how the distance calculation of any point on the sphere to the center (the left side of the equation) is equal to the square of the length of the radius.

nisarg | Student

surface is

volume is 4/3*pi*r^3

ik9744 | Student

The formula for a sphere is:

Volume : 4/3*PI*r^3               [R to the 3rd power or cubed]

Surface : 4(pi)*r^2                 [R to the 2nd power or squared]

volume is 4/3 * pi* r^3

atyourservice | Student

The volume for a sphere is: `4/3pir^3`

And for the surface area it is: `4pir^2`