Question:
Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm?
Solution:
Diameter $=2 r=140 \mathrm{~cm}$
i.e., radius, $r=70 \mathrm{~cm}=0.7 \mathrm{~m}$
Now, volume $=\pi \mathrm{r}^{2} \mathrm{~h}=1.54 \mathrm{~m}^{3}$
$\Rightarrow \frac{22}{7} \times 0.7 \times 0.7 \times h=1.54$
$\therefore h=\frac{1.54 \times 7}{0.7 \times 0.7 \times 22}=\frac{154 \times 7}{154 \times 7}=1 \mathrm{~m}$