a sphere has radius 3xcm. write down an expression for the surface area of the sphere in terms of x.give your answer in the simplest form

a sphere has radius 3xcm write down an expression for the surface area of the sphere in terms of xgive your answer in the simplest form class=

Respuesta :

The expression to obtain the surface area of a sphere is

[tex]A=4\cdot\pi\cdot r^2[/tex]

If the radius is equal to 3x cm then the expression is

[tex]A=4\cdot\pi\cdot(3x)^2[/tex]

square the 3x

[tex]\begin{gathered} A=4\cdot\pi\cdot(3^2)\cdot x^2 \\ A=4\cdot\pi\cdot9\cdot x^2 \end{gathered}[/tex]

Simplify the expression

[tex]A=36\pi\cdot x^2[/tex]

The expression for the surface area of a sphere of radius 3x cm is:

[tex]A=36\cdot\pi\cdot x^2[/tex]