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# Six balls, each of radius 5 centimeters, are placed side by side in a

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Math Expert
Joined: 02 Sep 2009
Posts: 52431
Six balls, each of radius 5 centimeters, are placed side by side in a  [#permalink]

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29 Nov 2017, 22:05
00:00

Difficulty:

25% (medium)

Question Stats:

91% (00:46) correct 9% (01:29) wrong based on 36 sessions

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Six balls, each of radius 5 centimeters, are placed side by side in a straight row with adjacent balls touching. What is the distance, in centimeters, between the center of the first ball and the center of the last ball?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

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Six balls, each of radius 5 centimeters, are placed side by side in a  [#permalink]

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29 Nov 2017, 22:26
C.

The distance is r+2r+2r+2r+2r+r. Here r=5
Solving we get 50

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Location: Ireland
Concentration: Healthcare, Finance
Re: Six balls, each of radius 5 centimeters, are placed side by side in a  [#permalink]

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29 Nov 2017, 22:37
Bunuel wrote:
Six balls, each of radius 5 centimeters, are placed side by side in a straight row with adjacent balls touching. What is the distance, in centimeters, between the center of the first ball and the center of the last ball?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

The distance = 4*10 + 2*5 = 50
C
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Re: Six balls, each of radius 5 centimeters, are placed side by side in a  [#permalink]

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03 Dec 2017, 17:56
Bunuel wrote:
Six balls, each of radius 5 centimeters, are placed side by side in a straight row with adjacent balls touching. What is the distance, in centimeters, between the center of the first ball and the center of the last ball?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

Since the radius of each ball is 5, the diameter of each ball is 10. Thus, the six diameters (one for each circle) will line up to form a total length of 60. However, to determine the distance from the center of the first ball to the center of the last ball, we only need the radius of the first and the radius of the last, along with the diameters of the four balls in between them; thus, the distance is 5 + 10 x 4 + 5 = 50. .

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Re: Six balls, each of radius 5 centimeters, are placed side by side in a &nbs [#permalink] 03 Dec 2017, 17:56
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