A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold?

Question

A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm

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Nem 4 years 2021-07-18T09:03:59+00:00 1 Answers 19 views 0

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  1. Cherry
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    2021-07-18T09:05:44+00:00
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    Answer:

    C. 262 cm

    Step-by-step explanation:

    Use the formula for the volume of a sphere, V = \frac{4}{3}\pir³

    Since the diameter is 10 cm, the radius will be 5 cm

    Plug in the radius into the formula:

    V = \frac{4}{3}[tex]\pi[/tex](5³)

    V = \frac{4}{3}[tex]\pi[/tex](125)

    V = 523.6

    Since the bowl is a hemisphere, divide this by 2:

    523.6/2

    = 261.8

    Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.

    So, the correct answer is C. 262 cm

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