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A solid cylinder has TSA 462sq. …

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A solid cylinder has TSA 462sq. cm. Its CSA in one third of its TSA. Find the volume of the cylinder.

    • Posted by Jay Patidar 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 11 months ago

    TSA = 462 cm2 2  = 2πrh + 2πr2

    LSA = 1/3 of TSA= 1/3 462 = 154 = 2πrh

    462 = 154 + 2πr2

    462 = 154 + 2 x 22/7 x r2

    462  - 154 = 2 x 22/ 7 x r2

    308 x7 =r2

    2 x 22  It's upon 2 into 22

    therefore r2 = 49

    r = 7

    LSA = 2

    TSA = 462 cm2 2  = 2πrh + 2πr2

    CSA = 1/3 of TSA= 1/3 462 = 154 = 2πrh

    462 = 154 + 2πr2

    462 = 154 + 2 x 22/7 x r2

    462  - 154 = 2 x 22/ 7 x r2

    308 x7 =r2

    2 x 22  It's upon 2 into 22

    therefore r2 = 49

    r = 7 cm

    LSA = 2πrh 

    154 = 2 x 22/7 x 7 x h

    h = 3.5 cm

    volume = πr2h

      22/7 x 7 x 7 x 3.5

      = 539 cm3

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