The volume of a circular iron rod of length 1 m is 3850 cm^3. Find its diameter.

Asked by Sushmita Dasgupta | 10th Dec, 2015, 03:41: PM

Expert Answer:

G i v e n space t h a t space t h e space l e n g t h space o f space t h e space c i r c u l a r space r o d equals 1 space m equals 100 space c m V o l u m e space o f space t h e space r o d equals 3850 space c m cubed V o l u m e space o f space t h e space c y l i n d e r equals πr squared straight h comma space where space straight r space is space the space radius space of space the space cylinder space and space straight h space is space the space height space or space length space of space the space cylinder. rightwards double arrow πr squared straight h equals 3850 rightwards double arrow 22 over 7 cross times straight r squared cross times 100 equals 3850 rightwards double arrow straight r squared equals fraction numerator 3850 cross times 7 over denominator 22 cross times 100 end fraction rightwards double arrow straight r squared equals 1225 over 100 rightwards double arrow straight r equals square root of 1225 over 100 end root rightwards double arrow straight r equals 35 over 10 rightwards double arrow straight r equals 3.5 rightwards double arrow radius equals 3.5 space cm Diameter equals 2 cross times radius equals 2 cross times 3.5 equals 7 space cm

Answered by Vimala Ramamurthy | 11th Dec, 2015, 09:08: AM

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