Find the height of the cylinder whose volume is 1.54 m

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 $=\pi \mathrm{r}^{2} \mathrm{~h}=1.54 \mathrm{~m}^{3}$

$\Rightarrow \frac{22}{7} \times 0.7 \times 0.7 \times h=1.54$

$\therefore h=\frac{1.54 \times 7}{0.7 \times 0.7 \times 22}=\frac{154 \times 7}{154 \times 7}=1 \mathrm{~m}$

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