# A cylinder has volume of 176cm^3 and height equal to 14cm, what

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.