7.5 Conversion of Solids from one shape to another with no change in Volume · Part 6

: ( D ) : . The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is ( A ) : : ( B ) : : ( C ) : : ( D ) : : Unit Exercise - . The barrel of a fountain-pen cylindrical in shape, is cm long and mm in diameter. A full barrel of ink in the pen will be used for writing words on an average. How many words can be written using a bottle of ink containing one fifth of a litre? . A hemi-spherical tank of radius . m is full of water. It is connected with a pipe which empties the tank at the rate of litre per second. How much time will it take to empty the tank completely? . Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r units. . An oil funnel of tin sheet consists of a cylindrical portion cm long attached to a frustum of a cone. If the total height is cm, the diameter of the cylindrical portion Mensuration be cm and the diameter of the top of the funnel be cm, then find the area of the tin sheet required to make the funnel. . Find the number of coins, . cm in diameter and mm thick, to be melted to form a right circular cylinder of height cm and diameter . cm. . A hollow metallic cylinder whose external radius is . cm and internal radius is . cm and whole length is cm is melted and recast into a solid cylinder of cm long. Find the diameter of solid cylinder. . The slant height of a frustum of a