Question

The vertical handle bars in a bus are cylindrical in shape. If each bar has a circular base of radius 5cm and height 5 m, how much iron would be required to build 14 such bars?(Take π = $\frac{22}{7}$) [4 MARKS]

Answer 1

Concept: 1 Mark
Formula: 1 Mark
Application: 2 Marks

Since, the iron occupies the entire space of the bar, we need to find the volume of the cylinders.

Radius of base of a cylinder $=5cm=5\times {10}^{-2}m$

Height of the cylindrical pillar $=5m$

Volume of each cylinder
$=\pi r^{2}h$

$=\frac{22}{7}{5\times {10}^{-2}}^{2}5$

$=0.03926m^3$


Therefore, volume of 14 bars = 14 . volume of each cylinder

$=0.549m^3$.