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 data is as follows:
r = 20cm
h = 10m
Number of pillars = 14
We have to find the total amount of concrete present in all 14 pillars.
Radius of the pillar is given in centimeters, so let us convert it to meters.
r = 20 cm = .2m
Let us first find the amount of concrete present in one pillar, which is nothing but the volume of the pillar.
`"Volume of 1 pillar " = pi r^2 h`
`= pi xx .2 xx.2xx10`
`"Volume of 14 pillars" = 14 xx pi xx .20 xx .20 xx 10 `
`=14 xx 22/7 xx .20xx .20 xx10`
`"Volume of 14 pillars " = 17.6 m^2`
Therefore, total amount of concrete mixture in 14 pillars is 17.6 m3 .