Mass of cylinder 1 = 1.35 mass of cylinder 2.
Volume of cylinder 1 = 0.792 volume of cylinder 2.
Density of cylinder 1 = 2.10 g/cc.
What id density of cylinder 2?
see related questions below
http://www.jiskha.com/display.cgi?id=1378048792
pp pp pp pp pp pp pp p pp pp pp pp pp pp pp pp
To find the density of cylinder 2, we can use the given information about the mass and volume ratio between the two cylinders.
Let's assume the mass of cylinder 2 is represented by M2, and the volume of cylinder 2 is represented by V2.
Given:
Mass of cylinder 1 = 1.35 times the mass of cylinder 2 (M1 = 1.35M2)
Volume of cylinder 1 = 0.792 times the volume of cylinder 2 (V1 = 0.792V2)
Density of cylinder 1 = 2.10 g/cc
Density is defined as mass divided by volume. So, we can write the equations as follows:
Density of cylinder 1 = M1/V1 = 2.10 g/cc
Density of cylinder 2 = M2/V2 = ?
We can rearrange the equations to solve for M2 and V2:
M1 = 1.35M2 (Equation 1)
V1 = 0.792V2 (Equation 2)
Dividing equation 1 by equation 2, we get:
(M1/V1) / (M2/V2) = (1.35M2) / (0.792V2)
Density of cylinder 1 / Density of cylinder 2 = (1.35M2) / (0.792V2)
Substituting the given values:
2.10 / Density of cylinder 2 = 1.35 / 0.792
Cross-multiplying, we get:
2.10 * 0.792 = Density of cylinder 2 * 1.35
1.6612 = 1.35 * Density of cylinder 2
Finally, isolating the density of cylinder 2:
Density of cylinder 2 = 1.6612 / 1.35
Approximately: Density of cylinder 2 = 1.23 g/cc
Therefore, the density of cylinder 2 is approximately 1.23 g/cc.
To find the density of cylinder 2, you can use the given information about the mass and volume relationship between the two cylinders.
Let's assume the mass of cylinder 2 is M2 and the volume of cylinder 2 is V2. We know that the mass of cylinder 1 is 1.35 times the mass of cylinder 2, so we can write this as:
Mass of cylinder 1 = 1.35 * Mass of cylinder 2
Similarly, the volume of cylinder 1 is 0.792 times the volume of cylinder 2:
Volume of cylinder 1 = 0.792 * Volume of cylinder 2
Now, we can rearrange the equations to solve for the mass and volume of cylinder 2 in terms of cylinder 1:
Mass of cylinder 2 = Mass of cylinder 1 / 1.35
Volume of cylinder 2 = Volume of cylinder 1 / 0.792
Since density is defined as mass divided by volume, we can find the density of cylinder 2 by dividing the mass of cylinder 2 by its volume:
Density of cylinder 2 = Mass of cylinder 2 / Volume of cylinder 2
Now, substitute the equations for mass and volume of cylinder 2:
Density of cylinder 2 = (Mass of cylinder 1 / 1.35) / (Volume of cylinder 1 / 0.792)
Finally, we can substitute the given value for the density of cylinder 1 (2.10 g/cc) into the equation and calculate the density of cylinder 2.