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do now 9/12/25 1. if an object has a mass of 200 grams and a volume of …

Question

do now 9/12/25

  1. if an object has a mass of 200 grams and a volume of 50 ml. what is its density?
  2. if you have a starting volume of 50 ml in a graduated cylinder and drop a marble in, the water rises to 53.7 ml. what is the volume of the marble?

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume. Given $m = 200$ g and $V=50$ mL.
$
ho=\frac{200}{50}$

Step2: Calculate density

$
ho = 4$ g/mL

Step3: Find volume of marble

The volume of the marble is equal to the change in volume of water in the graduated - cylinder. $\Delta V=V_{final}-V_{initial}$. Given $V_{initial} = 50$ mL and $V_{final}=53.7$ mL.
$\Delta V=53.7 - 50$

Step4: Calculate volume of marble

$\Delta V = 3.7$ mL

Answer:

  1. 4 g/mL
  2. 3.7 mL