Question

An ink container of cylindrical shape is filled with ink upto 91%. Ball pen refills of length 12 cm and inner diameter 2 mm are filled upto 84%. If the height and radius of the ink container are 14 cm and 6 cm respectively, find the number of refills that can be filled with this ink.

Answer 1

height and radius of the ink container are 14 cm and 6 cm
Volume of cylindrical shape ink container= 3.14r^2h*91/100 (As it is 91% filled)
Ball pen refills of length 12 cm and inner diameter 2 mm,
So radius=0.1cm
Volume of cylindrical shape Ball pen refills =3.14*r^2*h*84/100 (As it is 84% filled)
Number of refills that can be filled with ink=
Volume of cylindrical shape ink container/Volume of cylindrical shape Ball pen refills
$N=\frac{\Pi \times 6^2\times 14\times 0.91}{\Pi \times ({0.1)}^2\times 12\times 0.84}$
$N=4550$