This was a question in class 10 maths paper for st georges school-alaknanda Q. A 15 cm long test tube having diameter of 3.6 cm has waterupto a height of 6 cm. 20 spherical drops of oil of radius 9 mm are droppedinto it. What length of test tuberemains empty?.............tell me the solution to this problem or where the solution exists....




This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Area of cross section of the tube = π (3.6/2)² = π 3.24 cm²

Total volume of oil drops :  20 * (4/3) π 0.9³  cm³ = 19.44 π cm³

So the additional height that the oil drops will occupy on top of water already present :   volume / cross section area 
       = 19.44 / 3.24 = 6 cm

So total height of water + oil in the test tube :  6+6 cm
 Empty space height :  15 cm - 12 = 3 cm

1 5 1