Question

The ratio between csa and tsa of a cylinder is 1:2. if tsa is 616cm2 find the volume of the cylinder

Answer 1

RATIO => C.S.A 1
--------- = ---
T.S.A 2

2Πrh 1
------- = --—
2Πr(h+r) 2

2h=h+r
2h-h= r
h=r ————— (eq i)

Total surface area of cylinder=2Πr (h+r)

308= 22\7 x h x (h+h) putting from eq. I

308 x7 \ 22= h(2h)

14x7 \ 2 =h^2

√49= h

h=7cm

r=7 from eq i


Volume of Cylinder = Πr^2h
22 x7x7x7
=——
7

=11 x 98
=1078cm^3

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