Question

The density of aluminum is 2.70 g/cm3. an irregular shaped piece of aluminum weighing 40.0 is added to a 100mL graduated cylinder containing exactly 50.0mL of water. To what height in the cylinder will the water level rise? SHOW STEPS PLZ.

Answer 1

To determine the change in the water level after the aluminum is added, we sum up the forces acting on the piece aluminum. In this case, the weight of the piece is equal to the buoyant force. We do as follows:

W = Fb
mg = m(water)g
m = m(water)
40 = density of water ( volume )
40 = (1) V
V = 40 mL

Therefore, 40 mL of volume is being displaced by the aluminum and the level would be at about 90 mL.