The capacity of a cylindrical tank is 61.6 litres. If the height is 4 metres, what is the diameter of the base?
Solution
Correct Answer: Option D
As we know, capacity of cylindrical tank is essentially equal to its volume.
Volume of a cylindrical tank = πr2h
Where, r = radius of the tank and h= height of the tank
∵ 1 litre = 1000 cm3 = 0.001 m3
∴ Capacity of cylindrical tank = 61.6 × 0.001 m3
⇒ πr2h = 61.6 × 0.001
\(\begin{array}{l} \Rightarrow \frac{{22}}{7} \times \;4\; \times \;{r^2}\; = \frac{{616}}{{10000}}\\ \Rightarrow \;{r^2}\; = \;\frac{{616 \times 7}}{{10000 \times 22 \times 4}}\; = \;0.0049 \end{array}\)
⇒ r = 0.07 m
Now, diameter = 2r
∴ Diameter = 2 × 0.07 = 0.14 m = 14 cm
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