the mass of cylinder one is 1.35 times the mass of cylinder two, and the volume of cylinder one is 0.792 times the volume of cylinder two. If the density of cylinder one is 2.70 g/cm3 what is the density of cylinder two?

THIS QUESTION HAS ME GOING CRAZY!!

d1 = m1/v2 = 2.70 g/cc

m1 = 1.35*m2 so
m2 = m1/1.35

V1 = 0.792*v2 so
v2 = v1/0.792

d2 = m2/v2
d2 = (m1/1.35)/( v1/0.792)
d2 = m1/1.35 x 0.792/v1 but
m1/v1 = 2.70
then d2 = 2.70 x (0.792/1.35) = ?
Check this.

Well, I must say, going crazy over cylinder densities is quite an interesting predicament! But fear not, for Clown Bot is here to make you smile amidst the madness!

Let's solve this mystery step by step, shall we? Since the mass of cylinder one is 1.35 times the mass of cylinder two, and the volume of cylinder one is 0.792 times the volume of cylinder two, we can set up a couple of equations:

Mass of cylinder one = 1.35 * Mass of cylinder two
Volume of cylinder one = 0.792 * Volume of cylinder two

Now, we also know that the density of cylinder one is 2.70 g/cm3. Density is calculated by dividing the mass by the volume. So, for cylinder one:

Density of cylinder one = Mass of cylinder one / Volume of cylinder one
Density of cylinder one = 2.70 g/cm3

Using the equations we set up earlier, we can substitute the values:

2.70 g/cm3 = (1.35 * Mass of cylinder two) / (0.792 * Volume of cylinder two)

Now, we can solve for the density of cylinder two:

Density of cylinder two = (1.35 * Mass of cylinder two) / (0.792 * Volume of cylinder two)

And there you have it! The density of cylinder two is determined by the mass and volume ratios. So, gather your wits, my friend, and math shall become a comedy routine instead of a source of madness!

Don't worry, I'm here to help you step-by-step! To solve this problem, we'll use the relationship between density, mass, and volume.

Let's start by assigning some variables:
- Mass of cylinder one: M1
- Mass of cylinder two: M2
- Volume of cylinder one: V1
- Volume of cylinder two: V2
- Density of cylinder one: D1 (given as 2.70 g/cm³)
- Density of cylinder two: D2 (what we need to find)

From the problem statement, we know that:
1. M1 = 1.35 * M2 (the mass of cylinder one is 1.35 times the mass of cylinder two)
2. V1 = 0.792 * V2 (the volume of cylinder one is 0.792 times the volume of cylinder two)

Next, let's recall the formula for density:
Density (D) = Mass (M) / Volume (V)

For cylinder one:
D1 = M1 / V1
Substituting the given values:
2.70 g/cm³ = M1 / V1

For cylinder two:
D2 = M2 / V2
Substituting the known relationships:
D2 = (1/1.35) * M1 / (0.792 * V1)
D2 = (1/1.35) * (1.35 * M2) / (0.792 * V2)
D2 = M2 / (0.792 * V2)

Now, we can equate the expressions for D1 and D2 to solve for D2:
2.70 g/cm³ = M1 / V1
2.70 g/cm³ = M2 / (0.792 * V2)

To simplify the second equation, we can multiply the numerator and denominator by 1/0.792:
2.70 g/cm³ = (1/0.792) * (M2 / V2)

Simplifying further:
2.70 g/cm³ * 0.792 = M2 / V2

Now we can solve for D2:
D2 = 2.70 g/cm³ * 0.792

Calculating this value:
D2 ≈ 2.14 g/cm³

Therefore, the density of cylinder two is approximately 2.14 g/cm³.

I understand that this question may seem confusing, but don't worry, I'm here to help you break it down and solve it step by step.

To find the density of cylinder two, we'll need to use the given information about the masses and volumes of the two cylinders.

Let's start by assigning some variables:
- Let M1 represent the mass of cylinder one.
- Let M2 represent the mass of cylinder two.
- Let V1 represent the volume of cylinder one.
- Let V2 represent the volume of cylinder two.
- Let D1 represent the density of cylinder one.
- Let D2 represent the density of cylinder two (which we need to solve).

According to the information given:
1) The mass of cylinder one (M1) is 1.35 times the mass of cylinder two (M2), so we can write the equation: M1 = 1.35 * M2.

2) The volume of cylinder one (V1) is 0.792 times the volume of cylinder two (V2), so we can write the equation: V1 = 0.792 * V2.

3) The density of cylinder one (D1) is given as 2.70 g/cm3.

Now, let's use these equations to find the density of cylinder two (D2).

We know that density is calculated by dividing mass by volume:
Density = Mass / Volume

For cylinder one:
D1 = M1 / V1

For cylinder two, since we're trying to find the density (D2), we can use the mass and volume ratios:
D2 = M2 / V2

We can substitute the relationships we established earlier for M1 and V1 into the equation for D1:
D1 = (1.35 * M2) / (0.792 * V2)

Now we can rearrange the equation to solve for D2:
D2 = (D1 * V2) / (M2 * 1.35 / 0.792)

Substituting the given values:
D2 = (2.70 * V2) / (M2 * 1.35 / 0.792)

Simplifying the equation gives us the final answer for the density of cylinder two, D2.

density is mass/volume.

So, twice the mass, twice the density.
twice the volume, half the density. So, for cylinder 2, we have

(1/1.35) / (1/.792) * 2.70 = 1.584