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10 March, 03:07

a globe has a diameter of 24 inches. a smaller globe has a diameter of 18 inches. What is the surface are to volume ratio of the smaller globe? round to the nearest hundredth.

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  1. 10 March, 03:22
    0
    1 pi: 3pi

    Step-by-step explanation:

    Step 1: Formula of surface area and volume of sphere

    Surface area of sphere = 4 x pi x r^2

    Volume of sphere = 4 x pi x r^3

    3

    Step 2: Apply values in the formula

    r = radius

    radius = diameter/2

    r=18/2 = 9

    S. A = 4 x pi x 9^2

    S. A = 324pi

    Volume = 4 x pi x 9^3

    3

    Volume = 972pi

    Step 3 : Show in ratio

    Surface area : Volume

    324pi : 972pi

    = 1 pi: 3pi
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