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# A sphere is melted to form a cyclinder

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Director
Joined: 18 Jul 2018
Posts: 675
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
A sphere is melted to form a cyclinder  [#permalink]

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23 Jul 2018, 09:54
3
00:00

Difficulty:

35% (medium)

Question Stats:

70% (03:02) correct 30% (02:48) wrong based on 37 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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Math Expert
Joined: 02 Sep 2009
Posts: 53020
A sphere is melted to form a cyclinder  [#permalink]

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23 Jul 2018, 10:13
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 $$\frac{4}{3}\pi (r_1)^3=\pi (r_2)^2 h$$;

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

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

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

$$\frac{r_1}{r_2}=\frac{15}{4}$$.

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Director
Joined: 18 Jul 2018
Posts: 675
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A sphere is melted to form a cyclinder  [#permalink]

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23 Jul 2018, 16:01
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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Director
Joined: 27 May 2012
Posts: 683
Re: A sphere is melted to form a cyclinder  [#permalink]

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19 Oct 2018, 06:20
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.
_________________

- Stne

Re: A sphere is melted to form a cyclinder   [#permalink] 19 Oct 2018, 06:20
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