Answer:
1.1 x 10⁻⁵m³
Explanation:
Given parameters:
Weight in air = 11.29N
Weight in water = 9.190N
Density of gold = 19320kg/m³
Unknown:
Volume of the secret cavity = ?
Solution:
To solve this problem, we need to find the mass of the secret cavity.
Weight of the cavity = Weight of sculpture in air - Weight of sculpture in water
Weight of cavity = 11.29N - 9.190N = 2.1N
Weight = mass x acceleration due to gravity
Mass =[tex]\frac{2.1}{9.8}[/tex] = 0.2kg
So;
Volume of substance can be determined from the density.
Density = [tex]\frac{mass}{volume}[/tex]
Volume = [tex]\frac{mass}{density}[/tex]
Now insert the parameters and solve;
Volume = [tex]\frac{0.2}{19320}[/tex] = 1.1 x 10⁻⁵m³
