A hollow sphere (mass  m , radius  R  ) is put inside a hollow cone (mass  m , radius  5R  and semi-vertax angle  37∘  ) as shown in the figure. The whole arrangement is rigidly fixed to the ground at the apex of the cone. Both the sphere and the cone are made of the same material  (α  =  10−4/∘C) . Considering that major changes in dimensions could happen only due to heating effects, find the increase in potential energy (in Joule) of the system if it's temperature is increased by  100∘C is 11/W.  Find the value of W

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.

Find the volume V of the described solid S.A frustum of a right circular cone with height h, lower base radius R, and top radius rV =

The radius of a solid sphere and a solid right circular cone are equal and the height of the cone is equal to the diameter of its base. They are melted and the combined matter is recast into a solid hemisphere. What is the ratio of the radius of the hemisphere to that of the circle?

A class teacher brings some clay in the classroom to teach the topic mensuration. Firstshe forms a cone of radius 10 cm and height 5 cm and then she moulds that cone into asphere.(i) Find the volume of the conical shape.(ii) Find the radius of the sphere.(iii) Find the volume of the sphere the teacher made

A spherical ball, 12 cm in diameter, is melted and cast into a conical mould, the base of which is 24 cm in diameter. What is the height of the cone?( in cm)Choices:- 4 6 8 10