Question

A graduated cylinder reads 5 mL. After an object is placed in it, it reads 10 mL. If the object has a mass of 40 g, what is its density?

A) 4 g/mL
B) 8 g/mL
C) 10 g/mL
D) 20 g/mL

Answer 1

Answer:

• B) 8 g/mL

Explanation:

We are given:

A graduated cylinder reads 5 mL. After an object is placed in it, it reads 10 mL. If the object has a mass of 40 g.

The initial volume of water in the graduated cylinder was 5 mL and after the object was added the volume is read 10 mL (Final volume)

So the Volume of the cylinder is,

$\sf Volume = V_{final}- V_{initial}$

$\sf Volume = 10 mL - 5 mL$

$\sf Volume = 5 mL$

Now the formula to calculate the density is given by:

$\sf Density = \dfrac{ mass \ of \ the \ object}{Volume }$

substitute the values of mass and volume

$\sf Density = \frac{40\ g}{5 \ mL}$

$\sf Density = 8 \ g/mL$

Hence, the density of the object is 8 g/mL