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,

$\green{ \underline { \boxed{ \sf{Density= \frac{Mass}{Volume}}}}}$

Putting Values -

$\begin{gathered}\\\implies\quad \sf Density = \frac{32.5}{12.5} \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf Density = \frac{325}{125} \\\end{gathered}$

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

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