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29 May, 05:28

ali has a modle of earth that has a diameter of 12 centimeters. ehat is the serface area of this modlel

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  1. 29 May, 05:43
    0
    For reasons that might eventually be proven in a later calculus course, the surface area of a sphere is given by the formula

    A = 4r²π

    or, since the radius r is half of the diameter d (d = 2r):

    A = d²π

    Since our diameter is 12 cm, the area would then be

    12²π = 144π cm²
  2. 29 May, 05:46
    0
    The surface area of the model is 144π cm.²

    To find the surface area of the sphere, we need to know the formula for the surface area of a sphere. The formula for the surface area of a sphere is 4πr². But, we don't have the radius! We only know the diameter. But, since the d is equal to twice the radius, if the diameter is 12, the radius is 12/2 or 6. Now we can solve.

    4 * π * (6) ²=

    =4 * π * 36=

    =144π

    That means that the surface area of the model is 144π cm.²
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