Question

An object’s mass is determined to be 32.5 g. When the object is placed in a graduated cylinder containing 175 mL of water, the water in the cylinder rises to a level of 187.5 mL. What is the density of the material?

Answer 1

Given :-

• Mass of object = 32.5 g

To Find :-

• Dentity of the material

Solution:-

When the object is placed in a graduated cylinder containing 175 ml of water, the water in the cylinder rises to a level of 187.5 ml , this implies that volume of content in the container has increased , the increased volume is volume of the object placed

So, Volume of object

= Increased Volume - Initial volume

= > 187.5 -175

= > 12.5 ml

Since 1 ml = 1 cm³ we can write

`\quad`12.5 ml = 12.5 cm³

Now,

`\green{ \underline { \boxed{ \sf{Density= (Mass)/(Volume)}}}}`

Putting Values -

`\begin{gathered}\\\implies\quad \sf Density = (32.5)/(12.5) \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf Density = (325)/(125) \\\end{gathered}`

`\begin{gathered}\\\implies\quad \sf Density = 2.6 g/cm^3 \\\end{gathered}`

>> The density of the material is 2.6 g/cm³