the brim. When lead shots, each of which is a sphere of radius . cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
. A solid iron pole consists of a cylinder of height cm and base diameter cm, which is surmounted by another cylinder of height cm and radius cm. Find the mass of the pole, given that cm of iron has approximately 8g mass. (Use = .
) . A solid consisting of a right circular cone of height cm and radius cm standing on a hemisphere of radius cm 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 cm and its height is cm. .
A spherical glass vessel has a cylindrical neck cm long, cm in diameter; the diameter of the spherical part is . cm. By measuring the amount of water it holds, a child finds its volume to be cm . Check whether she is correct, taking the above as the inside measurements, and = .
. . Summary In this chapter, you have studied the following points: . To determine the surface area of an object formed by combining any two of the basic solids, namely, cuboid, cone, cylinder, sphere and hemisphere.
. To find the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere. Fig. .