GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 23 of 65

Marks: +1, -0

A core cutter of

130 {mm}

height has inner and outer diameters of

100 {mm}

and 106 mm respectively. The area ratio of the core cutter (in \%, up to two decimal places) is________.

Solution:

Area ratio

=\;{A_{\;\text "outer "\;}-A_{\;\text "inner "\;}}/{A_{\;\text "inner "\;}} × 100

=\;{\;{π}/{4} D_{0}^{2}-{π}/{4} D_{i}^{2}}/{{π}/{4} D_{i}^{2}} × 100

=\;{\;{π}/{4}(106)^{2}-{π}/{4}(100)^{2}}/{{π}/{4}(100)^{2}} × 100=12.36 \%

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