lost shipping container is found resting on the ocean floor and completely subme

Question

lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.70 m long, 2.70 m wide, and 2.90 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is 1.30 m, the shipping container just begins to rise toward the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³

Explanation / Answer

Here ,

let the mass of the container is m

Using archimedes principle,

when the container start to float

weight of liquid displaced = weight of container

volume of water * density * g = m * g

(6.7 * 2.7 * 2.9 + (4/3) * pi * 1.3^3 ) * 1025 = m

m = 63203.6 Kg

the mass of the container is 63203.6 Kg

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