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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? - Mathematics

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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?

Answer in Brief

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 m.

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Chapter 19: Surface Areas and Volume of a Circular Cylinder - Exercise 19.2 [Page 20]

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RD Sharma Mathematics [English] Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.2 | Q 2 | Page 20

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