Final answer:
The question involves calculating the %V/V of glyphosate in a solution by finding the volume of a sphere and comparing it to the volume of glyphosate added. The significance of this calculation is tied to concerns about glyphosate's use and environmental impact. To calculate the %V/V, divide the volume of glyphosate by the volume of the sphere and multiply by 100, we get 0.12% V/V.
Step-by-step explanation:
To calculate the %V/V, we need to determine the volume of glyphosate in the sphere filled with distilled water.
First, let's calculate the volume of the sphere using the formula for the volume of a sphere: V = 4/3 * pi * r^3.
The diameter of the sphere is given as 9.22 cm, so the radius (r) is half of the diameter, which is 4.61 cm.
Plugging this value into the formula, we find that the volume of the sphere is approximately 377.21 cm^3.
Next, we need to find the volume of 9 drops of glyphosate.
The volume of a typical drop of liquid is approximately 0.05 mL or 0.05 cm^3.
Since we have 9 drops, the total volume of glyphosate is 9 * 0.05 cm^3 = 0.45 cm^3.
Finally, we can calculate the %V/V by dividing the volume of glyphosate (0.45 cm^3) by the volume of the sphere (377.21 cm^3) and multiplying by 100. So, %V/V = (0.45 cm^3 / 377.21 cm^3) * 100.
This gives us approximately 0.12% V/V.