Discussion
The height of a cylinder is three times the radius of its base. If the area of the base is 616 cm2, then what is the capacity (in litres) of the cylinder ? \(\left(\text{Use } \pi = \frac{22}{7}\right)\)
Answer: D
The capacity is 25.872 litres.
The base area gives the radius:
\[ \begin{aligned} \frac{22}{7} r^2 &= 616 \\ r^2 &= 196,\ r = 14\ \text{cm} \end{aligned} \]
The height is three times the radius, h = 42 cm.
\[ \begin{aligned} V &= \pi r^2 h = 616 \times 42 \\ &= 25872\ \text{cm}^3 \end{aligned} \]
Since 1 litre = 1000 cm3, the capacity is 25.872 litres. 17.248 uses a height of 28 cm (twice the radius), 12.936 uses 21 cm, and 34.496 uses 56 cm.
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