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. 4cm
This 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
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.