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Logan is constructing a scaled model of his town. The city's water tow

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Logan is constructing a scaled model of his town. The city's water tow  [#permalink]

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New post 29 Mar 2019, 01:59
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

45% (03:26) correct 55% (02:49) wrong based on 11 sessions

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Logan is constructing a scaled model of his town. The city's water tower stands 40 meters high, and the top portion is a sphere that holds 100,000 liters of water. Logan's miniature water tower holds 0.1 liters. How tall, in meters, should Logan make his tower?


(A) 0.04

(B) \(\frac{0.4}{\pi}\)

(C) 0.4

(D) \(\frac{4}{\pi}\)

(E) 4

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Logan is constructing a scaled model of his town. The city's water tow  [#permalink]

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New post 29 Mar 2019, 03:13
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Bunuel wrote:
Logan is constructing a scaled model of his town. The city's water tower stands 40 meters high, and the top portion is a sphere that holds 100,000 liters of water. Logan's miniature water tower holds 0.1 liters. How tall, in meters, should Logan make his tower?


(A) 0.04

(B) \(\frac{0.4}{\pi}\)

(C) 0.4

(D) \(\frac{4}{\pi}\)

(E) 4



Scale: Actual 100,000 litres = 0.1 litre on scale

i.e. Actual \(10^6\) litres = 1 litre on scale

i.e. Actual \((10^2)^3\) litres = 1 litre on scale. [Because litre is the unit of volume so the dimensions must be in cubic form]

i.e. one unit in scale = \(10^2\) units in actual

i.e. 40 meters in actual \(= 40/100 = 0.4\) in scale

Answer: Option C
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Logan is constructing a scaled model of his town. The city's water tow   [#permalink] 29 Mar 2019, 03:13
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Logan is constructing a scaled model of his town. The city's water tow

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