Question

The height of the cylinder of capacity 1540 L and base diameter 140 cm is .

• A. 1 m
• B. 10 m
• C. 10 cm

Answer 1

The correct option is A 1 m

It is given that the diameter of the base is 140 cm. Therefore, the radius is 70 cm.
$\because 1{\text{m}}^3=1000\text{L}$
So, 1540 L is equivalent to 1.54 m³
Volume of the cylinder $=\pi r^{2}h$

$\Rightarrow 1.54=\pi \times 0.7\times 0.7\times h\Rightarrow h=\frac{1.54}{\pi \times 0.7\times 0.7}\Rightarrow h=\frac{7}{22}\times \frac{1.54}{0.7\times 0.7}\Rightarrow h=1$

Hence, the height of the cylinder is 1 m.