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A cylinder has radius of 7cm and its volume is 1540cm^3, what is the height of the cylinder? (Take π = \(\frac{22}{7}\))

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in Mathematics - Class 9 by (679k points)
A cylinder has radius of 7cm and its volume is 1540cm^3, what is the height of the cylinder? (Take π = \(\frac{22}{7}\))

(a) 10cm

(b) 14cm

(c) 11cm

(d) 15cm

This question was posed to me in an online interview.

The origin of the question is Volume of a Cylinder in section Surface Areas and Volumes of Mathematics – Class 9

1 Answer

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Best answer
Correct answer is (a) 10cm

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

πr^2h = 1540

\(\frac{22}{7}\) * 7 * 7 * h = 1540

h = 10cm.

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