13. 10/2 pointsDETAILSPREVIOUS ANSWERSAUFEXC4%5.010.MI.MY NOTESASK YOUR TEACFind the surface area of the roure whendom. For calculation volving wolve both the exact value and an approximation to the nearest hundredth of a centimeterXNeed Help?

13 102 pointsDETAILSPREVIOUS ANSWERSAUFEXC45010MIMY NOTESASK YOUR TEACFind the surface area of the roure whendom For calculation volving wolve both the exact va class=

Respuesta :

Answer:

[tex]S=113.10cm^2[/tex]

Step-by-step explanation:

The surface area of a sphere is represented by the following equation:

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

If the diameter is 6cm, then the radius is 3cm. Solve for the surface area:

[tex]\begin{gathered} S=4\pi\cdot3^2 \\ S=36\pi=113.097 \\ \text{Rounding to the nearest hundredth of a centimeter:} \\ S=113.10cm^2 \end{gathered}[/tex]