Question

find the length of the largest ball that can be placed in a hall 10 metre long 10 metre wide and 5 metre height

Answer 1

the answer is 5metres height

Answer 2

Length of largest pole is the diagonal
So, diagonal =
$\sqrt{ {l }^{2} + {b}^{2} + {h}^{2} }$
$\sqrt{ {10}^{2} + {10}^{2} + {5}^{2} }$
$\sqrt{100 + 100 + 25}$
$\sqrt{225}$
$15$
So length of largest pole is 15 metre