Twenty one cylindrical pillars of the Parliament House are to be cleaned.
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