A cube whose edge 15cm is melted to cast a cylinder of radius 14 cm.find its height

Asked by Priya | 14th Mar, 2017, 10:48: AM

Expert Answer:

begin mathsize 16px style The space volume space of space the space cube equals left parenthesis side right parenthesis cubed equals left parenthesis 15 right parenthesis cubed
Since space the space cube space is space melted space and space recasted space to space straight a space cylinder comma
volume space of space the space cylinder space equals space volume space of space the space cube
rightwards double arrow πr squared straight h equals left parenthesis 15 right parenthesis cubed
rightwards double arrow 22 over 7 cross times 14 cross times 14 cross times straight h equals left parenthesis 15 right parenthesis cubed
rightwards double arrow straight h equals fraction numerator 15 cubed cross times 7 over denominator 22 cross times 14 cross times 14 end fraction
rightwards double arrow straight h equals 5.48 space cm space approximately
Hence comma space its space height space will space be space 5.48 space cm space approximately. end style

Answered by Rebecca Fernandes | 14th Mar, 2017, 11:11: AM