Find the surface area of the sphere in terms of pi

A = 225π in²

Step-by-step explanation:

The equation for the surface area of a sphere is:

A = 4πr²

Plug 7.5 in for r (since r = d/2):

A = 4π(7.5²) = 4π(56.25) = 225π

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: