When a solid metal cube is completely submerged in a cylindrical vessel containing milk with diameter 30 cm the level of milk rises by 1.42cm.find the length of the edge of the metal cube

Asked by Sushanta.chakraborty | 22nd May, 2019, 05:42: AM

Expert Answer:

 
 
begin mathsize 16px style Here space straight d space equals space 30 space rightwards double arrow space straight r space equals space 15 space cm comma space straight h space equals space 1.42 space cm
Volume space of space the space cylinder space equals space πr squared straight h
rightwards double arrow Volume space of space straight a space cube space equals space left parenthesis Edge right parenthesis cubed
According space to space the space condition space in space the space question comma
left parenthesis Edge right parenthesis cubed space equals space πr squared straight h
rightwards double arrow left parenthesis Edge right parenthesis cubed space equals space 3.14 cross times space 5 cross times 5 cross times 1.42 space equals 111.47
Taking space cube space root space on space both space the space sides comma space we space get space
Edge space equals space space 4.81 space cm end style

Answered by Yasmeen Khan | 22nd May, 2019, 10:03: AM