Sam poured 1/3 liter of water into a bottle and it filled 1/4 of the bottle. How much water fits into the bottle? liters of water fit into the bottle

Consider the equation of an ellipse with coordinate axes as its major and minor axes: x^2/a^2 + y^2/b^2 = 1

Let a > b.
Here, a = 8/2 = 4 m and b = 2 m.
Hence, the equation becomes x^2/4^2 + y^2/2^2 = 1.
i.e. x^2/16 + y^2/4 = 1
i.e. x^2 + 4y^2 = 16 (1)

So we are required to find the ordinate of a point on the ellipse whose abscissa is a - 1.5 = 4 - 1.5 = 2.5 m.

So, put x = 2.5 in equation (1)
(5/2)^2 + 4y^2 = 16
25 + 16y^2 = 64
16y^2 = 39
y = √(39)/4, -√(39)/4

But since we are required to find height which is positive quantity so the required height of the point is √(39)/4 = 1.56 metres

1.56 Should be your answer.