To find the density of the cork, you can use the formula for density:
Density (ρ) = Mass (m) / Volume (V)
In this case, you are given the mass of the cork (m = 8.7 g) and the volume of water displaced by the cork (V = 0.0375 L).
Before we proceed, we need to convert the volume from liters to milliliters (1 liter = 1000 milliliters) since the mass is given in grams:
V = 0.0375 L = 0.0375 x 1000 mL = 37.5 mL
Now, you can calculate the density:
ρ = 8.7 g / 37.5 mL
ρ = 8.7 g / 37.5 mL ≈ 0.232 g/mL
So, the density of the cork is approximately 0.232 grams per milliliter (g/mL).