You want to determine the lifting force of a helium balloon. When you tie a long cord to the balloon and then release the balloon, it floats up until it supports a \(63.2-\mathrm{mm}\) length of cord and then it remains stationary, as shown in Figure P18.21. A 1. 00-m length of the cord has a mass of \(0.0160 \mathrm{~kg}\), and the mass of the uninflated balloon is \(2300 \mathrm{mg}\). What is the volume of the inflated balloon? The mass densities are \(1.286 \mathrm{~kg} / \mathrm{m}^{3}\) for air and \(0.179 \mathrm{~kg} / \mathrm{m}^{3}\) for helium.

Data from Figure P18.21

Transcribed Image Text:

63.2 mm