20 cubes of ice with an edge 6 cm each are left to melt in a cylindrical glass jar which contains 1.5 litres of water. Find the total volume of water in litres when the ice cubes melt completely.
Apparently, they want you to assume that the volume of the ice equals the volume of the liquid water. That is not strictly correct, because ice has a larger volume that liquid water, for the same amount of water. (That is why ice floats on liquid water.) But there is no other way to answer the question, so here goes:
Volume of 4 cubes of ice:
V = 4(4 cm)3 = 256 cm3
When melted, V will fill a volume of height h in the cylinder.
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Verified answer
Apparently, they want you to assume that the volume of the ice equals the volume of the liquid water. That is not strictly correct, because ice has a larger volume that liquid water, for the same amount of water. (That is why ice floats on liquid water.) But there is no other way to answer the question, so here goes:
Volume of 4 cubes of ice:
V = 4(4 cm)3 = 256 cm3
When melted, V will fill a volume of height h in the cylinder.
V = πr2h ⇒
h = V/(πr2) = (256 cm3) / [π(6 cm)2] = ? cm
You can finish from here.