Question

If the height of cylinder is 28cm and l.s.a is 256 cm find the diameter

Answer 1

h=28 cm

lsa= 256 cm^2

d= ?

lsa of cylinder= 2Πrh

256=2*22/7*r*28

256=44*4*r

84=44r

r=84/44

r=1.90 cm

d=2r

d=2*1.90

d=3.80 cm

Answer 2

L. S. A of cylinder = 2πrh

Here,

Height (h) = 28cm,

L.S.A =256 cmSq.

2×22/7×r×28 = 256

(44×28)/7×r = 256

1232/7×r =256

176×r = 256

r = 256/176

r = 1.4 (Approx.)

We know,

2r= D

2(1.4) = D

d = 2.8

Therefore, diameter of the cylinder = 2.8cm

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