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23 February, 23:56

Trayvon has a mug shaped like a hemisphere. Its diameter is 18 cm. To the nearest hundredth, what is the capacity of her mug?

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  1. 24 February, 00:20
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    The capacity of the mug is 1,527.43 cm^3

    Step-by-step explanation:

    In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.

    A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.

    Mathematically, the volume of a hemisphere V = 2/3 * π * r^3

    Since D = 18cm, r = D/2 = 18cm/2 = 9 cm

    The volume V is thus = 2/3 * 22/7 * 9^3

    V = 1,527.428 cm^ 3

    To the nearest hundredth,

    V = 1,527.43 cm^3
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