A sphere has a radius of 3x+2. Which polynomial in standard form best describes the total surface area of the sphere?

PLease tell

:/ sheeeeeeeesh

36 πx^2+48 πx+16 π

To determine the total surface area of a sphere, we need to use the formula:

Surface Area = 4π(r^2)

Where "r" is the radius of the sphere. In this case, the radius is given as 3x+2.
So, we substitute the value of "r" into the formula:

Surface Area = 4π((3x+2)^2)

Now, let's simplify this expression:

Surface Area = 4π(9x^2 + 12x + 4)

Next, let's distribute the multiplication to every term within the parentheses:

Surface Area = 4π * 9x^2 + 4π * 12x + 4π * 4

Simplifying further:

Surface Area = 36πx^2 + 48πx + 16π

Therefore, the polynomial in standard form that best describes the total surface area of the sphere is:

36πx^2 + 48πx + 16π

you should know the formula for the area of a circle

just plug in 3x+2 for r and look at your choices (which you did not give us)

i really don't know

I must ask Reiny, why must they give us the answer? From my understanding this site is merely to help people acquire the answer by giving the helpful hints about how to solve the problem, not provide it to them.