Question

6. An object has a mass of 0.125 lb. When it is submerged in a graduated cylinder initially containing 19.6 mL of water, the water level rises to 39.9 mL. (given 2.2 lb = 1.0 kg, 1000 g =1.0 kg)

Answer 1

This is an incomplete question, here is a complete question.

An object has a mass of 0.125 lb. When it is submerged in a graduated cylinder initially containing 19.6 mL of water, the water level rises to 39.9 mL. What is the density (g/mL) of the object?

(given 2.2 lb = 1.0 kg, 1000 g =1.0 kg)

Answer : The density of object is, 2.79 g/mL

Explanation :

First we have to calculate the mass of object in terms of grams.

Conversion used:

2.2 lb = 1 kg = 1000 g

That means,

2.2 lb = 1000 g

So, 0.125 lb =
`(0.125lb)/(2.2lb)* 1000g=56.8g`

Now we have to calculate the volume of object.

Volume of object = Volume of water level rises - Initial volume of water

Volume of object = 39.9 mL - 19.6 mL

Volume of object = 20.3 mL

Now we have to calculate the density of object.

`\text{Density of object}=\frac{\text{Mass of object}}{\text{Volume of object}}`

`\text{Density of object}=(56.8g)/(20.3mL)`

`\text{Density of object}=2.79g/mL`

Therefore, the density of object is, 2.79 g/mL