Marbles of diameter 1.4 cm are dropped into a beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm. Find how many have been dropped in it, if water rises be 56 cm.

Answer is 15.

Please explain me how to do it, and please also explain the question, with a complete written systematic solution if you can, and be as detailed as possible. If you are solving this let me know, because this might take you a while. Is this question wrong, maybe?

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2015-03-10T20:23:25+05:30

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n *  a = b
where n is the number of marbles, a is the Volume of marbles(sphere) and b is volume of beaker(cylinder)

n = b/a

a = volume of sphere

r = diameter/2 = 1.4/2 = 0.7 cm

= \frac{4}{3} πr³
= \frac{4}{3}  \frac{22}{7} * 0.7³
=1.437 cm³

b = volume of cylinder

r = 7/2 = 3.5 cm
h = 56 cm

= πr²h
= \frac{22}{7} * 3.5² * 56
=2156 cm³

n = b/a

n  = 2156 / 1.437 = 1500 spheres
2 5 2
Thank You So Much Ms. Keerthika! As I'm a bit new to brainly, how do I mark an answer as best? I've rated it 5 Stars, does doing that do it?
firstly to pick and an answer as best you need two answers for a single question.So wait until another one answer.Thnks
Okay, Thanks Again! By the way, if you have any questions about computer programming and computer related stuff, I can always help, even beyond University Level! Thank You So Much!
thankyou.if i have any questions i will surely approach you.thnkx ...to be so sweet
thankyou so much