Tick (✓) the correct answer:

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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