Balloon

A helium filled balloon, whose envelope has mass of \(0.25\text{ kg}\) is tied to a \(2\text{ m}\) long, \(0.05\text{ kg}\) string. The balloon is spherical with a radius \(0.4\text{ m}\). When released, it lifts the balloon at a length of \(h\) meters and remains in equilibrium. Determine value of \(h\) to the nearest integer.

Hint: Only that part of the string above the floor contributes to load being supported by balloon.

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