A right circular cone of radius `R` and height `2 R` is placed on a hemisphere of radius `R`. Locate `c.m.` of the combined mass from `O`.

A right circular cone of radius x cm and of height h cm is placed on a hemisphere . Then the total surface area of the newly constructed solid object will be pi r (sqrt(h^(2) + r^(2))+ 2r) sq- cm

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 of the cone. The height of the cone is

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 of the cone. The height of the cone is

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 of the cone. The height of the cone is

The maximum volume of the right circular cone that can be inscribed in a sphere of radius R

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, so as to have a common face. The centre of mass of the composite solid lies on the common face. The height of the cone is:

Find the volume of a right-circular cone of base radius r and height h.

A uniform solid hemisphere of radius r is joined to a uniform solid right circular cone of base radius r and height sqrt3r . If both have same density, then find the position of centre of mass from centre of hemisphere

From a circular disc of radius R , another disc of diameter R is removed. Locate c.m. of the remaining portion.

A right circular cone of diameter r cm and height 12 cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12 cm. If the cone is removed, find the height to which water level fall.