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

Question

asked Jan 18, 2023 134k views

1 Answer

Rohit Thomas · Answer 1 · 2023-01-24T10:42:33+0000

Solution:

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

$SA\text{ = 4}\pi\text{r}^2$

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.