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The formula for the surface of a sphere is S=4πr^2. Two lead balls

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The formula for the surface of a sphere is S=4πr^2. Two lead balls [#permalink]

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New post 24 Oct 2015, 12:52
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A
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E

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  5% (low)

Question Stats:

84% (01:09) correct 16% (01:11) wrong based on 146 sessions

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The formula for the surface of a sphere is \(S=4πr^2\). Two lead balls have radii 3 inches and 6 inches, respectively. A third ball has surface area equal to the sum of the surface areas of the two smaller balls. What is the radius, in inches, of the third ball?

    (A) \(3\sqrt{10}\)
    (B) \(3\sqrt{5}\)
    (C) \(36π\)
    (D) \(45π\)
    (E) \(180π\)

It's not really a hard question, but I got it wrong because I didn't take enough time to read carefully the question. So i'll just leave it here for others to avoid my mistake.
Good luck ya'll

PS: Difficulty is probably under 600, but couldn't edit the tags
Spoiler: OA

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Re: The formula for the surface of a sphere is S=4πr^2. Two lead balls [#permalink]

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New post 24 Oct 2015, 13:28
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petocities
The correct answer is B.
The surface area of the bigger sphere is = 4π (3^2 +6^2) = 4πr^2
4π (9 + 36) = 4πr^2
45 = r^2
r = \sqrt{45}
= 3 \sqrt{5}
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Posts: 18
Location: Chile
Schools: HBS '18 (S), Wharton '18, Kellogg '18 (S), Sloan '18, CBS '18, Haas '18, Stern '18
GMAT 1: 620 Q38 V37
GMAT 2: 690 Q49 V35
WE: Analyst (Consulting)
Re: The formula for the surface of a sphere is S=4πr^2. Two lead balls [#permalink]

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New post 25 Oct 2015, 10:45
erratic15 wrote:
petocities
The correct answer is B.
The surface area of the bigger sphere is = 4π (3^2 +6^2) = 4πr^2
4π (9 + 36) = 4πr^2
45 = r^2
r = \sqrt{45}
= 3 \sqrt{5}


Yeah, upon revising my calculations I got it right, but on my first time I stopped at 4π(9+36) = 180π. Since that's (E), I just selected it. That's the silly mistake that one has to avoid!
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Re: The formula for the surface of a sphere is S=4πr^2. Two lead balls [#permalink]

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New post 27 Feb 2017, 11:51
Can please somebody explain how the translation from /sqrt(45) --> 3*/sqrt(5) works?
I got this one right but only because I canceled the 3 obvious wrong ones and then estimated what value r approximately has to be
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Re: The formula for the surface of a sphere is S=4πr^2. Two lead balls [#permalink]

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New post 03 Mar 2017, 02:04
rasti12 wrote:
Can please somebody explain how the translation from /sqrt(45) --> 3*/sqrt(5) works?
I got this one right but only because I canceled the 3 obvious wrong ones and then estimated what value r approximately has to be


\(\sqrt{45}=\sqrt{9*5}=3\sqrt{5}\)

Hope it's clear.
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Re: The formula for the surface of a sphere is S=4πr^2. Two lead balls   [#permalink] 03 Mar 2017, 02:04
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