Questions: Question 28 3 pts Given that most people are just about neutrally buoyant, it is reasonable to estimate the density of the human body to be about that of water. Given this assumption, the volume of an 80-kg person is 0.8 m^3 8 m^3 0.08 m^3 80 m^3

Question 28
3 pts

Given that most people are just about neutrally buoyant, it is reasonable to estimate the density of the human body to be about that of water. Given this assumption, the volume of an 80-kg person is
0.8 m^3
8 m^3
0.08 m^3
80 m^3

Transcript text: Question 28 3 pts Given that most people are just about neutrally buoyant, it is reasonable to estimate the density of the human body to be about that of water. Given this assumption, the volume of an $80-\mathrm{kg}$ person is $0.8 \mathrm{~m}^{3}$ $8 \mathrm{~m}^{3}$ $0.08 \mathrm{~m}^{3}$ $80 \mathrm{~m}^{3}$ Not saved Submit Quiz

Solution

Solution Steps

Step 1: Understanding the Problem

We need to estimate the volume of an 80 kg person, assuming the density of the human body is approximately equal to the density of water.

Step 2: Density of Water

The density of water is approximately $ 1000 \, \text{kg/m}^3 $.

Step 3: Using the Density Formula

The formula for density is: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] Given that the density of the human body is approximately $ 1000 \, \text{kg/m}^3 $ and the mass is $ 80 \, \text{kg} $, we can rearrange the formula to solve for volume: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

Step 4: Calculating the Volume

Substitute the given values into the formula: \[ \text{Volume} = \frac{80 \, \text{kg}}{1000 \, \text{kg/m}^3} = 0.08 \, \text{m}^3 \]