A metal sphere is melted and recasted into a cone.Both have same radii.Find the relationship between the height of the cone and the radiusof the sphere.

A metal sphere is melted and recasted into a cone.Both have same radii. Which solid has greater surface area? Justify.

A solid sphere of radius '7 cm' is melted and recast into a cone of same radius of the sphere. Calculate the height of the cone.

A sector of radius 12 centimetres and central angle 120^o is rolled up into a cone.Find the radius and the height of the cone.

A metal sphere of diameter 24 centimetres is melted and recast into cones of base radius and height 6 centimetres. How many such cones are made?

A solid metal sphere of radius 6 centimetres is melted and recast into solid cones of radius 6 centimetres and height 6 centimetres. Find the number of cones. .

A solid hemisphere of wax with radius 12 centimetres is melted and made into. a cone of base radius 6 centimetres, compute the height of the cone.

The radius and height of a cone are 12 centimetres, and 6 centimetres respectively. a) What is its volume? b) If this cone is, cut parallel to its base, along the midpoint of its height,what is. the radiús of the small cone obtained? c) What is the volume of the small cone? d) Find the ratio of the volumes of the small cone and the first cone.

Sand is pouring from a pipe. The falling sand forms a Cone on the ground in such a way that the height of the Cone is always one-sixth of the radius of the base. Establish a relation between the volume 'v' and height 'h' of the Cone using the given condition.

A top is in the shape of a hemisphere of equal radius joined to the base of a cone. The total height of the top is 15 centimetres and the height of the cone is 12 centimetres: Find the volume of the top.

Sand is pouring from a pipe. The falling sand forms a Cone on the ground in such a way that the height of the Cone is always one-sixth of the radius of the base. if the sand is pouring at the rate of 12 cm^3 /s ,Find the rate of change of height of the Cone.