Question

water tank is in the shape of a Cylinder. If the diameter of the base is 126cm and the height is

120cm, find the lateral surface area and the volume of the tank.

please I need the answer fast​

Answer 1

Answer:

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Step-by-step explanation:

$so \: here \: for \: a \: cylindrical \: water \: tank \\ diameter = 126 \: cm \\ thus \: then \: radius(r) = 63 \: cm$

$so \: thus \: then \\ area \: of \: base \: of \: cylindrical \: water \: tank = area \: of \: circle \\ \\ = \pi \: rsquar \\ = 22 \div 7 \times 63 \times 63$

$= 22 \times 63 \times 9 \\ = 22 \times 567 \\ = 12474 \: cm.square$

$so \: volume \: of \: wate \: tank = volume \: of \: cylineder \\ = \pi \: r \:square \: h \\ = 12474 \times 120 \\ = 1496880$

$so \: we \: know \: that \\ 1cm \: cube = 1l \\ thus \: then \: \: for \: 1496880 \: cm \: cube \\ = 1496880 \div 1000 \\ = 1496.880 \\ = 1496.88 \: l$

$also \: we \: know \: that \\ lateral \: surface \: area \: ie \: curved \: surface \: area \: of \: cylinder = 2\pi \: rh$

$thus \: then \: we \: get \\ = 2 \times 22 \div 7 \times 63 \times 120 \\ = 2 \times 22 \times 9 \times 120 \\ = 44 \times 1080 \\ = 47520 \: cm \: square$