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.

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. Find dh/dt when h=12 cm.

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.

Sand is pouring from a pipe at the rate of 12 cm^3 / s. 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. How fast if the height of the sand cone increasing when the height is 4 cm ?'

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.

The base radius of a cone made by rolling up a sector is 3 centimetres. Its slant height is 15 centimetres.What is the radius of the sector used to make 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.

A cone is made from a sector of radius 10 centimetre and central angle '216 degree a) What is the slant height and radius of the the cone? b) Find the volume of the cóne.

A hemisphere and a cone with same radii are attached to get a solid as given in the figure. Radius of the hemisphere is 9 cm. The height of the two solids together is 21 cm.Find the volume of the cone. .

A hemisphere and a cone with same radii are attached to get a solid as given in the figure. Radius of the hemisphere is 9 cm. The height of the two solids together is 21 cm. Find the volume of the solids. .