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)