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2 November, 00:38

A rectangular gasoline tank can hold 36.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.450 m wide by 0.900 m long? m (b) what is the volume of the tank (in gal) ? (it is suitable for a passenger car.) gal

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  1. 2 November, 01:26
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    Let h = depth of the rectangular tank.

    Its volume is

    V = (0.450 m) * (0.900 m) * (h m)

    = 0.405h m³

    The density of gasoline is about 0.77 kg/L = 719.7 kg/m³.

    Because the mass of gasoline is given as 36.0 kg, its volume is

    V = (36.0 kg) / (719.7 kg/m³)

    = 0.05 m³

    Therefore,

    0.405h = 0.05

    h = 0.1235 m

    The capacity of the tank in gallons is

    (36 kg) / (0.77 kg/L) = 46.75 L

    Because 1 L = 0.264 gal, the capacity is

    (46.75 L) / (1/0.264 L/gal) = 177.1 gal.

    A typical passenger can hold between 12 and 17 gallons, so this tank is too large.

    Answer:

    The depth is 0.1235 m.

    The volume is 0.05 m³.

    The tank is too large for a passenger car.
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