Discussion

If diameter of a cylinder is 5cm and volume of cylinder is 650cm³ then height of cylinder is

Answer: C

Halve the diameter, then rearrange the volume formula for the height.

\[ r = 2.5 \text{ cm} \]

\[ h = \frac{V}{\pi r^{2}} = \frac{650}{3.142 \times 6.25} = \frac{650}{19.64} \]

\[ h = 33.1 \approx 33 \text{ cm} \]

Using the diameter of 5 instead of the radius would divide by four times as much and give about 8.3 cm.

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