Sainik School Entrance Exam 2019 Solved Paper

Question : 26 of 150

Marks: +1, -0

A well was dug with

14 {\m}

inner diameter and was

8 {\m}

deep. The earth dug out of it was evenly spread out on a rectangular plot of size

10 {\m} × 8 {\m}

. Find the raise in the height of the plot.

Solution:

(b) Suppose that, the raise in the height of the plot

=h {\m}

Volume of the earth dug out

=

Volume of earth spread out on the rectangular plot

πr^2 h^{'}=l ×b ×h

{22}/{7} ×({14}/{2})^2 ×8=10 ×8 ×h

22×7 ×8=10 ×8 ×h

h={154}/{10}=15.4 {\m}.

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