KynnadiP454703 KynnadiP454703
  • 26-10-2022
  • Mathematics
contestada

If the radius of sphere is triller, the surface area will increase by a factor of ____.

Respuesta :

HarrietP295661 HarrietP295661
  • 26-10-2022

Solution:

Remember that the surface area of a sphere with radius r is given by the following formula:

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

then, if the radius triples, that's a factor of 3. The square of 3 is 9, so if the radius triples the area is multiplied by 9.

Then the surface area will increase by a factor of 9.

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