Question

The surface area of sphere R is 565 2 units squared. The surface area of sphere S is 2,260.8 units squared. How many times larger is the radius of sphere S compared to the radius of sphere R?

Answer 1

radius S is √2260.8/√565.2 times larger than R

Explanation:

you can compare both surfaces and radii as follows

`(surface \: r)/(surface \: s) = \frac{\pi * {radius \: r}^(2) }{\pi * {radius \: s}^(2) }`

can cancel both π

`(565.2)/(2260.8) = \frac{ {r}^(2) }{ {s}^(2) }`

`( √(565.2) )/( √(2260.8) ) = (r)/(s)`

radius S = radius R × (√2260.8/√565.2)