Surface Area Of A Sphere

Explanation

In geometry, a sphere is defined as the set of points that are all the same distance (r) from a given point in a three-dimensional space. The formula for calculating the surface area of a sphere is:

The Greek letter π (“pi”) represents the ratio of the circumference of a circle to its diameter. In Excel, π is represented in a formula with the PI function , which returns the number 3.14159265358979, accurate to 15 digits:

=PI() // returns 3.14159265358979

To square a number in Excel, you can use the exponentiation operator (^):

=A1^2

Or, you can use the POWER function :

=POWER(A1,2)

Rewriting the formula using Excel’s math operators we get:

=4*PI()*B5^2

Or, with the POWER function:

=4*PI()*POWER(B5,2)

For example, with a radius of 5 hardcoded into the formulas we have:

=4*PI()*5^2 // returns 314.16
=4*PI()*POWER(5,2) // returns 314.16 

and both formulas return the same result. Following Excel’s order of operations , exponentiation will occur before multiplication.

Explanation

In geometry, the formula for calculating the volume of a cone is:

The formula for calculating the volume of a cone is based on the formula for calculating the volume of a pyramid. Since the base of a cone is a circular, the formula for area of a circle is included.

The Greek letter π (“pi”) represents the ratio of the circumference of a circle to its diameter. In Excel, π is represented in a formula with the PI function , which returns the number 3.14159265358979, accurate to 15 digits:

=PI() // returns 3.14159265358979

To square a number in Excel, you can use the exponentiation operator (^):

=A1^2

Or, you can use the POWER function :

=POWER(A1,2)

Rewriting the formula for volume of a cone with Excel’s math operators , we get:

=1/3*PI()*B5^2*C5

Or, with the POWER function:

=1/3*PI()*POWER(B5,2)*C5

The result is the same for both formulas. Following Excel’s order of operations , exponentiation will occur before multiplication.