A hollow spherical body of inner and outer radii 6 cm, and 8 cm respectively floats half submerged in water. Find the density of the material of the sphere.

A hollow spherical body of inner and outer radii 6 cm, and 8 cm respec

1.	A hollow spherical body of inner and outer radii 6 cm, and 8 cm respectively floats half submerged in water. Find the density of the material of the sphere.
Answer» Correct Answer - C `r_2=8cm, r_1=6cm` `Here m_2=upward thrust `rarr V_(pg)=(V/2)(rho_2)xxg` `[where rho_w=density of water]` `rarr(4/3pir_3^2-4/3pir_1^3)rho=(1/2)rP_2^3xx1` `rarr (r_2^3-r_1^3)xxrho=(1/2)r_2^3xx1` `rarr (8)^3-(6)^3xxrho=(1/2)(8)^3xx1` `rarrrho=512/(2x(512-216))` `=512/(2xx296)` `=0.865gm/cc=865kg/m^3`

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A hollow spherical body of inner and outer radii 6 cm, and 8 cm respectively floats half submerged in water. Find the density of the material of the sphere.

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