Final answer:
To determine the massiveness of a black hole that would have the same density as water, you can set up an equation using the density of water and the volume formula for a sphere.
Step-by-step explanation:
The density of water is approximately 1000 kg/m³.
To determine the massiveness of a black hole that would have the same density as water, we can set up the equation:
Density of Black Hole = Mass of Black Hole / Volume of Black Hole
Density of Water = Mass of Black Hole / Volume of Black Hole
We know the density of water and can substitute it into the equation:
1000 kg/m³ = Mass of Black Hole / Volume of Black Hole
To find the volume of a black hole, we can use the formula for the volume of a sphere:
Volume of Sphere = (4/3) * π * (radius of black hole)³
Thus, we can solve for the radius of the black hole:
1000 kg/m³ = Mass of Black Hole / ((4/3) * π * (radius of black hole)³)
Given the density of water and the volume formula for a sphere, we can calculate the massiveness of the black hole that would have the density of water.