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Com of Solid Bodies

A uniform sol...

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A uniform solid hemisphere of radius r is joined to a uniform solid right circular cone of base radius r. Both have same density. The centre of mass of the composite solid lies on the common face. The height (h) of the cone is

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Q. A uniform solid right circular cone of base radius R is joined to a uniform solid hemisphere of radius R and of the same density, as shown. The centre of mass of the composite solid lies at the centre of base the cone. The height of the cone is

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Q. A hemisphere and a solid cone have a common base. The centre of mass of the common structure coincides with the centre of the common base. If R is the radius of hemisphere and h is the height of the cone, then :

Q. Question 1
A solid metallic hemisphere of radius 8 cm is melted and recasted into a right circular cone of base radius 6 cm. Determine the height of the cone.

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