A homogenous solid body consists of right circular conical portion attached to a hemispherical portion of radius $R = 3 m$ . The height H of cone if the centre of gravity of the composite body coincides with the centre O of the circular base of the wire is n (in m ). then find n (where n is integer)

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TestHub · Accepted Answer

Same density, so weight by volumes with base centre O as origin: 3 1 ​ π R 2 H ⋅ 4 H ​ + 3 2 ​ π R 3 ( − 8 3 R ​ ) = 0 H 2 = 3 R 2 ⇒ H = 3 ​ R ; with R = 3 ​ m , H = 3 m, so n = 3.

Physics - Center of Mass Question with Solution | TestHub

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JEE Advanced 2028 (Class 11)