# 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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