Question

A metal cup full of water has a mass of 1,000 g. The cup itself has a mass of 214.6 g. If the cup has both a diameter and a height of 10 cm, what is the approximate density of water?

Answer 1

Answer: Approximate density of water is 1 g/cm³.

Step-by-step explanation:

Since we have given that

Mass of metal cup full of water = 1000 g

Mass of cup = 214.6 g

So, Mass of water = Mass of filled cup - Mass of empty cup

Mass of water = 1000 g - 214.6 g

Mass of water = 785.4 g

Diameter of cup = 10 cm

Radius of cup = 5 cm

Height of cup = 10 cm

So, volume of cup is given by

$\pi r^2h\\\\=\dfrac{22}{7}\times 5^2\times 10\\\\=\dfrac{22}{7}\times 250\\\\=785.71\ cm^3$

so, Density of water would be

$\dfrac{Mass}{Volume}\\\\=\dfrac{785.71}{785.4}\\\\\approx 1\ g/cm^3$

Hence, approximate density of water is 1 g/cm³.