The surface area of the sphere is 105 square inches what is the volume of the sphere use 3.14 for pi

The volume of the sphere is .

Step-by-step explanation:

A sphere is a 3-D figure in which all of the points in a plane are the same distance from a given point, the center of the sphere.                      

A sphere with radius r has a volume of

and a surface area of

To find the volume of the sphere we use the fact that the surface area of the sphere is 105 and we use it to find the radius.

The radius cannot be negative. Therefore,

Now, that we know the radius we can find the volume

The given expression is

We need to determine the expression by factoring out the greatest common factor.

Also, we need to determine the factor of the entire expression completely.

Part A: Expression by factoring out the greatest common factor:

The GCF of two numbers is the highest number that divides both the numbers.

To rewrite the expression by factoring out the greatest common factor, we need to factor out the highest number that divides the two expressions.

Thus, we have;

Thus, the expression is

Part B: Factoring the entire expression:

Let us factor the entire expression.

(1)

Now, we shall factor the term

Applying the identity

Thus, we have;

(2)

Factoring the term , we get;

Thus, substituting the above value in equation (2), we get;

Factoring the term , we get;

Substituting the values in the equation (1), we get;

Thus, the factor of the expression is