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15 April, 14:29

the diameter of earth is 7917.5 mi and the diameter of mercury is 3032 mi. how many times can mercury go inside earth. use 3.14 for pi, round to nearest tenth

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  1. 15 April, 14:46
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    Mercury can enter 6.8 times inside the earth

    Step-by-step explanation:

    To solve this problem we have to calculate the volumes

    First we calculate the radius

    radius earth = 7917.5mi / 2 = 3958.75mi

    radius mercury = 3032mi / 2 = 1516mi

    To calculate the volume of earth we have to use the following formula:

    V = volume

    r = radius = 3958.75mi

    π = 3.14

    V = ⁴⁄₃πr³

    we replace with the known values

    V = ⁴⁄₃ * 3.14 * (3958.75mi) ³

    V = 4.187 * 15671701.56 mi³

    V = 65617414 mi³

    The volume of earth is 65617414 mi³

    To calculate the volume of mercury we have to use the following formula:

    V = volume

    r = radius = 1516mi

    π = 3.14

    V = ⁴⁄₃πr³

    we replace with the known values

    V = ⁴⁄₃ * 3.14 * (1516mi) ³

    V = 4.187 * 2298256 mi³

    V = 9622797 mi³

    The volume of mercury is 9622797 mi³

    Now we divide the earth volume by the mercury volume

    65617414 mi³ / 9622797 mi³ = 6.819

    round to the nearest tenth

    6.819 = 6.8

    Mercury can enter 6.8 times inside the earth
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