Respuesta :

absor201

The radius is 5cm

Step-by-step explanation:

The surface area of a sphere is given by:

[tex]SA = 4\pi r^2[/tex]

Here

Given

SA = 100π cm^2

Putting the values in the formula

[tex]100\pi = 4\pi r^2\\r^2 = \frac{100\pi}{4\pi}\\r^2 = 25[/tex]

Taking square root on both sides

[tex]\sqrt{r^2} = \sqrt{25}\\r = 5 cm[/tex]

The radius is 5cm

Keywords: Surface area, Radius

Learn more about surface area of sphere at:

  • brainly.com/question/1388658
  • brainly.com/question/1386181

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