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

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Math Expert
Joined: 02 Sep 2009
Posts: 54371
Logan is constructing a scaled model of his town. The city's water tow  [#permalink]

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29 Mar 2019, 01:59
00:00

Difficulty:

65% (hard)

Question Stats:

17% (04:52) correct 83% (02:42) wrong based on 6 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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29 Mar 2019, 03:13
1
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

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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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