Question

Three spherical balls of same diameter are inserteded into a cylindrical tube and one above the other such as they touch the bottom as wella s the edges of the tube and the top one exactly touches the lif when closed. If the volume of each ball is 180cm3 find volume of cylinder

Answer 1

HEIGHT OF CYLINDER = 3* DIAMETER OF SPHERE = 3d

radius of cylinder = radius of sphere

VOL. OF BALL = 4/3πr³

180*3/4π = r³

VOL. OF CYLINDER = πr²h

πr²6r

6πr³

6π*180*3/4π

⇒810cm³