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A sphere is melted to form a cyclinder

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NUS School Moderator
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A sphere is melted to form a cyclinder  [#permalink]

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New post 23 Jul 2018, 10:54
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C
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Difficulty:

  35% (medium)

Question Stats:

71% (02:59) correct 29% (02:48) wrong based on 38 sessions

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A sphere is melted to form a cylinder whose height is 70 \(\frac{5}{16}\) times its radius. What is the radii of the sphere to the cylinder?

1) 5:4
2) 11:4
3) 15:4
4) 13:4
5) 9:4

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A sphere is melted to form a cyclinder  [#permalink]

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New post 23 Jul 2018, 11:13
1
Afc0892 wrote:
A sphere is melted to form a cylinder whose height is 70 \(\frac{5}{16}\) times its radius. What is the radii of the sphere to the cylinder?

1) 5:4
2) 11:4
3) 15:4
4) 13:4
5) 9:4


This is not a GMAT question. For one, the wording is not precise, plus GMAT question would give the volume of the sphere formula, which is \(\frac{4}{3}\pi r^3\).

Anyway, since the volumes are the same, then \(\frac{4}{3}\pi (r_1)^3=\pi (r_2)^2 h\);

\(\frac{4}{3}\pi (r_1)^3=\pi (r_2)^2 *r_2*\frac{1125}{16}\);

\((\frac{r_1}{r_2})^3=\frac{3375}{64}\);

\((\frac{r_1}{r_2})^3=\frac{15^3}{4^3}\);

\(\frac{r_1}{r_2}=\frac{15}{4}\).

Answer: C.
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Re: A sphere is melted to form a cyclinder  [#permalink]

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New post 23 Jul 2018, 17:01
Bunuel wrote:
Afc0892 wrote:
A sphere is melted to form a cylinder whose height is 70 \(\frac{5}{16}\) times its radius. What is the radii of the sphere to the cylinder?

1) 5:4
2) 11:4
3) 15:4
4) 13:4
5) 9:4


This is not a GMAT question.


Hey Bunel. Sorry for that. But, this question was given by my local tutor. So, for what questions does GMAT provide formulae?
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Re: A sphere is melted to form a cyclinder  [#permalink]

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New post 19 Oct 2018, 07:20
Afc0892 wrote:
A sphere is melted to form a cylinder whose height is 70 \(\frac{5}{16}\) times its radius. What is the radii of the sphere to the cylinder?

1) 5:4
2) 11:4
3) 15:4
4) 13:4
5) 9:4


Dear Moderator,
Please can you correct this question, I think the word " Ratio" is missing from the question, the question is unintelligible in its present form. Hope you will look into this. Thank you.
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Re: A sphere is melted to form a cyclinder   [#permalink] 19 Oct 2018, 07:20
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