Twenty one cylindrical pillars of the Parliament House are to be cleaned. If the diameter of each pillar is 0.50 m and height is 4 m, what will be the cost of cleaning them at the rate of Rs 2.50 per square metre?
Given:
Diameter of the pillars $=0.5 \mathrm{~m}$
Radius of the pillars, $r=0.25 \mathrm{~m}$
Height of the pillars, $h=4 \mathrm{~m}$
Number of pillars $=21$
Rate of cleaning $=$ Rs $2.50$ per square metre
Curved surface area of one pillar $=2 \pi r h$
$=2 \times \frac{22}{7} \times 0.25 \times 4$
$=2 \times \frac{22}{7}$
$=\frac{44}{7} \mathrm{~m}^{2}$
$\therefore$ Curved surface area of one pillar $=\frac{44}{7} \mathrm{~m}^{2}$
Cost of cleaning 21 pillars at the rate of Rs $2.50$ per $\mathrm{m}^{2}=$ Rs $2.5 \times 21 \times \frac{44}{7}$
$=7.5 \times 44$
$\therefore$ Cost of cleaning 21 pillars at the rate of Rs $2.50$ per $\mathrm{m}^{2}=$ Rs 330