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# A sphere is melted to form a cyclinder

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Intern
Joined: 18 Jul 2018
Posts: 29
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, 10:54
1
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Difficulty:

35% (medium)

Question Stats:

78% (02:12) correct 22% (02:42) wrong based on 9 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
Math Expert
Joined: 02 Sep 2009
Posts: 47903
A sphere is melted to form a cyclinder  [#permalink]

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

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

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

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

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

_________________
Intern
Joined: 18 Jul 2018
Posts: 29
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, 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?
Re: A sphere is melted to form a cyclinder &nbs [#permalink] 23 Jul 2018, 17:01
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