The total surface area of a solid cylinder 165cm\(^2\). Of the base diameter is 7cm, calculate its height. [Take \(\pi = \frac{22}{7}\)]

a

7.5 cm

b

4.5 cm

c

4.0 cm

d

2.0 cm

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Correct Option
c

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D_Ultimate
2 years ago

For better understanding
Total S.A of cuboid=2πr(r+h)
Total S.A of cuboid= 2πrh + 2πr²
165 = 2 x 22/7 x 7/2 x h + 2 x 22/7 x 7/2 x 7/2
165 = 22h + 77

22h=88
h= 4cm
height = 4cm

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