Question:
Tick (✓) the correct answer:
If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, the depth of the tank is
(a) 8 m
(b) 12 m
(c) 16 m
(d) 18 m
Solution:
(b) $12 \mathrm{~m}$
Diameter $=14 \mathrm{~m}$
Radius $=7 \mathrm{~m}$
Volume $=1848 \mathrm{~m}^{3}$
Now, volume $=\pi \mathrm{r}^{2} \mathrm{~h}=\frac{22}{7} \times 7 \times 7 \times \mathrm{h}=1848 \mathrm{~m}^{3}$
$\therefore \mathrm{h}=\frac{1848}{22 \times 7}=12 \mathrm{~m}$
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