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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=

Sagot :

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]

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