Question:
The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20 cm and height 10 m, how much concrete mixture would be required to build 14 such pillars?
Solution:
Given,
The concrete mixture is used to build up the pillars is required for the entire space of the pillar i.e, we need to find the volume of the cylinders.
Radius of the base of a cylinder = 20 cm
Volume of the cylindrical pillar $=\pi R^{2} H$
$=\left(22 / 7 \times 20^{2} \times 1000\right) \mathrm{cm}^{3}$
$=8800000 / 7 \mathrm{~cm}^{3}$
$=8.8 / 7 \mathrm{~m}^{3}[1 \mathrm{~m}=100 \mathrm{~cm}]$
Therefore, volume of 14 pillars $=8.8 / 7 \times 14 \mathrm{~m}^{3}=17.6 \mathrm{~m}^{3}$