A hollow spherical iron shell ﬂoats almost completely submerged in water.The outer diameter is 60.0 cm, and the density of iron

Question

A hollow spherical iron shell ﬂoats almost completely
submerged in water.The outer diameter is 60.0 cm, and the density
of iron is 7.87 g/cm3. Find the inner diameter.

chris_7086 · Answer

density water = density sphere
1.0 g/cm^3 = m / 27000 cm^3 * 4/3 * pi
1.0 g/cm^3 = m / 11309.73 cm^3
11309.73 g = m
7.87 g/cm^3 = 11309.73 g / V
V = 14370.69 cm^3
1437.07 cm^3 = 4/3 * r^3 * pi
r = 11.28 cm
d = 2 * r = 22.56 cm

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A hollow spherical iron shell ﬂoats almost completely submerged in water.The outer diameter is 60.0 cm, and the density of iron

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