To find the ratio of the surface area to the volume for a sphere, you need to divide the given surface area by the given volume.
Here are the given values:
- Surface area [tex]\( = 300 \, \text{m}^2 \)[/tex]
- Volume [tex]\( = 500 \, \text{m}^3 \)[/tex]
We need to calculate the ratio of the surface area to the volume:
[tex]\[ \text{Ratio} = \frac{\text{Surface Area}}{\text{Volume}} \][/tex]
Substitute the given values into the formula:
[tex]\[ \text{Ratio} = \frac{300 \, \text{m}^2}{500 \, \text{m}^3} \][/tex]
Now, perform the division:
[tex]\[ \text{Ratio} = 0.6 \, \text{m}^{-1} \][/tex]
Therefore, the ratio of surface area to volume for the sphere is [tex]\( 0.6 \, \text{m}^{-1} \)[/tex], and the correct answer is:
B. [tex]\( 0.6 \, \text{m}^{-1} \)[/tex]
