If the density of cylinder 1 is 3.55 , what is the density of cylinder 2? (The masses and volumes of two cylinders are measured. The mass of cylinder 1 is 1.35 times the mass of cylinder 2. The volume of cylinder 1 is 0.792 times the volume of cylinder 2.)
I would go the easy route and make up a number of the mass of cyl 1 and solve for volume of cyl 1. Then
1.35*mass1 = mass 2
0.792*volume1 = volume2
Then density2 = mass2/volume2
To find the density of cylinder 2, we need to use the given information about the masses and volumes of the two cylinders.
Let's assume the density of cylinder 2 as 'x'. The density of a substance is defined as its mass divided by its volume. So, we can set up the following equation for cylinder 1:
Density of cylinder 1 = Mass of cylinder 1 / Volume of cylinder 1
Substituting the given values:
3.55 = (1.35 * Mass of cylinder 2) / (0.792 * Volume of cylinder 2)
Now, let's solve for the density of cylinder 2. Dividing both sides of the equation by 0.792:
3.55 / 0.792 = (1.35 * Mass of cylinder 2) / (0.792 * Volume of cylinder 2)
4.4848 = 1.7051 * Mass of cylinder 2 / Volume of cylinder 2
To isolate the density of cylinder 2, we can rearrange the equation:
4.4848 * Volume of cylinder 2 = 1.7051 * Mass of cylinder 2
Dividing both sides of the equation by the mass of cylinder 2:
(4.4848 * Volume of cylinder 2) / Mass of cylinder 2 = 1.7051
This equation implies that the ratio of density to mass is equal to the ratio of volume to 4.4848. Therefore, the density of cylinder 2 is simply the volume of cylinder 2 divided by 4.4848.
Density of cylinder 2 = Volume of cylinder 2 / 4.4848
So, to find the density of cylinder 2, you need to divide its volume by 4.4848.
6.05
correct?