A vessel is in the form of an inverted cone.Its height is 8 cm and the radius of its top,which is open,is 5 cm.It is filled with water up to the brim.When lead shots,each of which is a sphere of radius 0.5 cm are dropped into the vessel,one-fourth of the water floes out.Find the number of lead shots dropped in the vessel.

A metallic sphere of radius 10.5cm is melted and then recast into small cones each of radius 3.5cm and height 3cm.The number of such cone is__-

A sphere of radius 6cm is dropped into a cylindrical vessel partly filled with water.The radius of the vessel is 8 cm.If the sphere is submerged completely then the surface of the water rises by__

A bucket made up of a metal sheet is in the form of a frustum of a cone. Its depth is 24 cm and the diameters of the top and bottom are 30 cm and 10 cm respectively. Find the cost of milk which can completely fill the bucket at the rate of ₹ 20 per litre and the cost of metal used, if its cost ₹ 10 per 100 cm^2 (pi = 3.14) .

A conical vessel whose radius is 5 cm and height is 24 cm, is full of water. The water is emptied into cylindrical vessel with internal radius 10 cm. Find the height to which the water rises in the cylindrical vessel.

A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, each of diameter 3.5 cm and height 3 cm. Find the number of cones so formed.

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid is in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and the height of the cone outside the hemisphere is 5 cm, find the volume of water left on the tub. (Use pi = 22/7 )

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and height of the cone outside the hemisphere is 5 cm, find the volume of water left in the tub.

A solid is in the form of a right-circular cone mounted on a hemisphere. The radius of the hemisphere is 2.1 cm and height of the cone is 2 cm. The solid is placed in a cylindrical tub full of water in such a way that the solid is fully submerged in water. If the radius of the cylinder is 5 cm and its height is 9.8 cm, find the volume of the water left in the tub..

A solid consisting of a right circular cone of height 120cm and radius 60cm standing on a hemisphere of radius 60cm is placed upright in a right circular cylinder full of water such that it touches the bottom.Find the volume of water left in the cylinder if the radius of the cylinder is 60cm and its height is 180cm.

In the figure, from the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to its base. Find the total surface area of the remaining solid (pi = 22/7, sqrt5=2.236) .