Discussion
The circumference of the base of a right circular cylinder is 528 cm and its height is 2 m. What is the volume of the cylinder ? \(\left(\text{Take } \pi = \frac{22}{7}\right)\)
Answer: C
The volume is 4.4352 m3.
From the circumference, find the radius, then use \(V = \pi r^{2} h\) with h = 2 m = 200 cm:
\[ \begin{aligned} 2\pi r &= 528 \\ r &= 528 \times \frac{7}{44} = 84\ \text{cm} \\ V &= \frac{22}{7} \times 84^{2} \times 200 \\ &= 4435200\ \text{cm}^{3} \end{aligned} \]
Since 1 m3 = 1,000,000 cm3, V = 4.4352 m3. 2.2176 m3 is half the answer, as if the height were taken as 1 m; 6.6528 m3 is one and a half times it.
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