Discussion
The area of the curved surface of a right circular cylinder is 4400 cm2 and the circumference of its base is 110 cm. Its volume (in m3) is : \(\left(\text{Use } \pi = \frac{22}{7}\right)\)
Answer: B
The volume is 0.0385 m3.
Find the radius from the circumference and the height from the curved surface area:
\[ \begin{aligned} 2\pi r &= 110 \Rightarrow r = \frac{110 \times 7}{44} = 17.5\ \text{cm} \\ 2\pi r h &= 4400 \Rightarrow h = \frac{4400}{110} = 40\ \text{cm} \end{aligned} \]
\[ \begin{aligned} V &= \pi r^{2} h = \frac{22}{7} \times 17.5^{2} \times 40 \\ &= 38500\ \text{cm}^{3} = 0.0385\ \text{m}^{3} \end{aligned} \]
1 m3 is 1,000,000 cm3; the other options are close distractors that do not equal 38,500 cm3.
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