a rock has a density of 15 g/cm3 and a mass of 50 g is dropped into a 100ml graduated cylinder containing 55 ml of water. to what height will the water rise in the cylinder

We know that, Density = Mass/Volume

Therefore, Volume = Mass / Density = 50/15 = 3.33 ml

Thus, volume occupied by rock = 3.33 ml

Thus, total volume occupied in graduated cylinder = 55 ml + 3.33 = 58.33 ml

∴volume of graduated cylinder will rise by 3.33 cm3.

Answer is: the height of cylinder is 58.33 ml.

d (rock) = 15 g/cm³.

m (rock) = 50 g.

V (rock) = m (rock) : d (rock).

V (rock) = 50 g : 15 g/cm³.

V (rock) = 3.33 cm³ = 3.33 ml ...

h (cylinder) = V (rock) + V (water).

h (cylinder) = 3.33 cm³ + 55 cm³.

h (cylinder) = 58.33 cm³.