An iron sperical ball of volume `232848 cm^(3)` has been melted and converted into a cone with the vertical angle of `120^(@)`. What are its height and base?

A spherical ball of iron has been melted and made into small balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made ?

The curved surface area of a cone is 4070 cm^2 and its diameter is 70 cm . What is its slant height ?

Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle alpha is one-third that of the cone and the greatest volume of cylinder is (4)/(27) pi h^(3) tan^(2) alpha .

The volume (in cm^(3)) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

A metal cuboid of dimension 22 cm xx 15 cm xx 7.5 cm , was melted and cast into a cylinder of height 14 cm .What is its radius?

The base area of a cone is 38.5cm^(2) .Its volume is 77 cm ^(3) Find its height .

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 (2)/3 cm and height 3cm. Find the number of cones so formed.

A piece of iron weighs 230g and has a volume of 20cm^3 . Find the density of iron.

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 is the height of the sand cone increasing when the height is 4 cm?