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CBSE Class 9 Answered

A cube whose edge 15cm is melted to cast a cylinder of radius 14 cm.find its height
Asked by Priya | 14 Mar, 2017, 10:48: AM
answered-by-expert 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 | 14 Mar, 2017, 11:11: AM

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