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Question
CBSEENMA8003433

Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm?

Solution

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Let height of the cylinder be h m.
∴                          Volume = πr squared straight h
                                          = 22 over 7 cross times left parenthesis 70 right parenthesis squared cross times straight h
                                          = 22 over 7 cross times 70 cross times 70 cross times straight h
                      Since, volume of the cylinder is 1.54 m3.
∴          22 x 10 x 70 x h = 1.54 x 1000000 = 1540000
or                              straight h equals fraction numerator 1540000 over denominator 22 cross times 10 cross times 70 end fraction equals 100 space cm space or space 1 space straight m