A hot dog bun (volume 240 cm3) with a density of 0.15 g/cm3 is crushed in a picnic cooler into a volume of 195 cms. What is the new densitu of the bun?

Volume is measured in cm^3, not cms.

The new "crushed" density is higher by a factor of V1/V2 = 240/195 = 1.231

1.231 x 0.15 = ___ g/cm^3

To find the new density of the hot dog bun, we need to divide the mass of the bun by its new volume.

The initial volume of the bun is given as 240 cm^3.
The density of the bun is given as 0.15 g/cm^3.

We can calculate the initial mass of the bun using the formula:

Mass = Density * Volume

Mass = 0.15 g/cm^3 * 240 cm^3

Mass = 36 g.

The new volume of the bun is given as 195 cm^3.

To find the new density, we divide the mass (36 g) by the new volume (195 cm^3):

New Density = Mass / Volume

New Density = 36 g / 195 cm^3

New Density ≈ 0.1846 g/cm^3.

Therefore, the new density of the hot dog bun is approximately 0.1846 g/cm^3.

To find the new density of the bun, we can use the formula:

Density = Mass / Volume

Let's break down the steps to find the new density of the bun:

Step 1: Calculate the initial mass of the bun.
Given:
Initial Volume = 240 cm3
Density = 0.15 g/cm3

We can calculate the initial mass using the formula rearranged for mass:
Mass = Density x Volume

Mass = 0.15 g/cm3 * 240 cm3
Mass = 36 g

Step 2: Calculate the final density of the bun.
Given:
Final Volume = 195 cm3 (after being crushed)

To find the final density, we need to find the final mass. We can rearrange the density formula to solve for mass:
Mass = Density x Volume

Since we have the final volume and initial mass, we can rearrange the formula to find the final density:
Density = Mass / Volume

Density = 36 g / 195 cm3
Density ≈ 0.1846 g/cm3 (rounded to 4 decimal places)

Therefore, the new density of the hot dog bun is approximately 0.1846 g/cm3.