Assuming biological substances are 90% water and the density of water is 100 kg/meter cubed, estimate the mass of a fly, which can be approximated by a cylinder 4 mm long and 2 mm in diameter (volume (length*pi*radius squared)
Multiply the volume of that cylinder by the density of water.
Your density is ten times too low. You'd better check it again.
yes I meant the density was 1000 kg/meter cubed. but when I multiply the volume of the cylinder (12.56) by the density of water, (1000), i get 12560. the answer is supposed to be 1.131 X10 to the negative 5th power
To estimate the mass of the fly, we can use the given information about the composition of biological substances and the dimensions of the fly.
Step 1: Calculate the volume of the fly.
Given that the fly can be approximated by a cylinder, we can use the formula for the volume of a cylinder: volume = length * π * radius squared.
Given:
Length = 4 mm
Diameter = 2 mm
Since the radius is half of the diameter, we can calculate the radius of the cylinder:
Radius = Diameter / 2 = 2 mm / 2 = 1 mm = 0.001 m
The volume of the fly can now be calculated:
Volume = 4 mm * π * (0.001 m)^2
Step 2: Calculate the mass of the fly.
We are given that biological substances are 90% water, and the density of water is 100 kg/m^3.
To estimate the mass, we can multiply the volume of the fly by the density of water and the proportion of biological substance (0.9):
Mass = Volume * Density * Proportion of Biological Substance
Given:
Density = 100 kg/m^3
Proportion of Biological Substance = 0.9
Therefore, the mass of the fly can be calculated as follows:
Mass = Volume * Density * Proportion of Biological Substance
Now you can substitute the values into the equation to obtain the estimated mass of the fly.