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A cylinder has volume of 176cm^3 and height equal to 14cm, what is the diameter of the cylinder? (Take π = \(\frac{22}{7}\))(a) 6cm(b) 8cm(c) 2cm(d) 4cmThis question was posed to me in an international level competition.The above asked question is from Volume of a Cylinder in chapter Surface Areas and Volumes of Mathematics – Class 9

Answer»

The correct option is (d) 4cm

The best I can explain: Volume of a cylinder having radius r and height h is equal to πr^2h.

πr^2h = 176

\(\frac{22}{7}\) * 14 * r^2 = 176

r^2 = 4

Therefore, r = 2cm

We KNOW that DIAMETER = 2 * radius

= 2 * 2

= 4cm.



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