Amy S.

asked • 08/18/16

Need help for this question!

A cylindrical can has a base radius of 3.4 cm.
It contains a certain amount of water such that when
a sphere is placed inside the can, the water just
covers the sphere. If the sphere fits exactly inside
the can, find
(i) the surface area of the can that is In contact with
the water when the sphere is inside the can,
(ii) the depth of water in the can before the sphere
was placed inside the can.

2 Answers By Expert Tutors

By:

Don L. answered • 08/18/16

Fifteen years teaching and tutoring basic math skills and algebra

Amy S.

However for part (ii), the height was a fraction
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08/18/16

Steven W.

tutor
Do you mean the answer is less than 1?  Because our answers for (ii) can be expressed as fractions.  2.3 = 23/10.
 
Was the answer meant to be expressed as a fraction of the total height with the sphere in?
 
If you have the answer on hand, that may help see if we did or interpreted something incorrectly.  Thanks!
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08/18/16

Amy S.

The answer for part (ii) was 2 4/15
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09/10/16

Amy S.

However I was pretty sure I got 2.3cm for that part as well. So I am very unsure. 
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09/10/16

Steven W.

tutor
Since 4/15 = 0.27,  2 and 4/15 and 2.27 (which Don and I -- and you -- got; I just rounded it up a bit) are basically the same number. They just gave me an answer as a mixed number rather than a decimal. So you're all good!
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09/10/16

Steven W.

tutor
should be "gave an answer". Whoops. 
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09/10/16

Amy S.

Oh phew! Thought I was wrong, thank you both for the help! :)
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09/11/16

Steven W. answered • 08/18/16

Physics Ph.D., *professional*, easygoing, 4000+ hours tutoring physics

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