The figure shows a uniform metal ball suspended by a thread of negligible mass from an upright cylinder that is partially submerged in water. The cylinder has height 6 cm, face area 11 cm2 on the top and bottom, and density 0.5 g/cm3. 4 cm of the cylinder's height is inside the water surface and density of the metal ball is 8 g/cm3. If R is the radius of the ball such that R3=3α cm3, where α is an integer, then α is (ρw=1 g/cm3 and the system is in equilibrium). Write upto two digits after the decimal point.

The figure shows a uniform metal ball suspended by a thread of negligi

1.	The figure shows a uniform metal ball suspended by a thread of negligible mass from an upright cylinder that is partially submerged in water. The cylinder has height 6 cm, face area 11 cm2 on the top and bottom, and density 0.5 g/cm3. 4 cm of the cylinder's height is inside the water surface and density of the metal ball is 8 g/cm3. If R is the radius of the ball such that R3=3α cm3, where α is an integer, then α is (ρw=1 g/cm3 and the system is in equilibrium). Write upto two digits after the decimal point.
Answer» The figure shows a uniform metal ball suspended by a thread of negligible mass from an upright cylinder that is partially submerged in water. The cylinder has height $6 c m$ , face area $11 c m^{2}$ on the top and bottom, and density $0.5 g / c m^{3}$ . $4 c m$ of the cylinder's height is inside the water surface and density of the metal ball is $8 g / c m^{3}$ . If R is the radius of the ball such that $R^{3} = \frac{3}{α} c m^{3}$ , where $α$ is an integer, then $α$ is ( $ρ_{w} = 1 g / c m^{3}$ and the system is in equilibrium). Write upto two digits after the decimal point.

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