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An iron ball or radius r is suspended by a thread of negligible mass from an...

An iron ball or radius r is suspended by a thread of negligible mass from an upright cylinder that floats partially submerged in water. The cylinder has a height of 6.9 cm, a face area of 12.1 cm^2 on the top and bottom and a density of .30 g/cm^3, and 2.5 cm of its height is above the water surface. Use g = 9.8 m/s^2

a) calculate the buoyant force of the cylinder if the density of the water is .958 g/cm^3. Show your work.

b) calculate the gravitational force on the cylinder. Show your work.

c) Calculate the radius (in cm) of the iron ball. Density of iron is 7.89 g/cm^3. Show your work.

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