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15 February, 21:49

Estimate how fast your hair grows, in units of m/s, assuming it takes 30 days for your hair to grow 1 inch. note that 1 inch = 2.54cm

2. how many liters (L) of water does it take to fill a swimming pool that is 15.0 feet long, 15.0 feet wide, and 8.00 feet deep? first compute the volume of the swimming pool in ft^3 and then follow the unit conversion rules to convert the units to L. note that 1ft=0.3048 meter and 1 L = 1000cm^3

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  1. 16 February, 01:36
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    1. 9.8 x 10^-7 cm/s

    2. 50970 L

    Explanation:

    1.

    time, t = 30 days = 30 x 24 x 60 x 60 seconds = 2592000 seconds

    length of hair, d = 1 inch = 2.54 cm

    rate of growth = length of hair grows per second = 2.54 / 2592000

    = 9.8 x 10^-7 cm/s

    Thus, the grown rate of hair is 9.8 x 10^-7 cm/s.

    2. length of the pool, l = 15 feet

    width of the pool, w = 15 feet

    height of pool, h = 8 feet

    Volume of the pool, V = length x width x height

    V = 15 x 15 x 8 = 1800 ft^3

    To convert ft^3 into m^3, we use

    1 ft = 0.3048 m

    so, 1 ft^3 = (0.3048) ^3 m^3 = 0.0283 m^3

    So, 1800 ft^3 = 1800 x 0.0283 = 50.97 m^3

    now, 1 m^3 = 1000 L

    So, 50.97 m^3 = 50.97 x 1000 L = 50970 L
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