The volume of this sphere is 25500cm3. Work out the length of the radius, r . Give your answer rounded to 1 DP.

Question

The volume of this sphere is 25500cm3. Work out the length of the radius, r . Give your answer rounded to 1 DP.

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Maris 4 years 2021-08-22T06:36:31+00:00 1 Answers 31 views 0

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  1. MichaelMet
    0
    2021-08-22T06:37:45+00:00
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    Answer:

    The radius is 18.3cm

    Step-by-step explanation:

    Given

    V = 25500cm^3

    Required

    The radius, r

    The volume (V) of a sphere is:

    V = \frac{4}{3}\pi r^3

    So, we have:

    25500 = \frac{4}{3}\pi r^3

    Solve for r

    \pi r^3 = 25500 * \frac{3}{4}

    \pi r^3 = 19125

    Divide by \pi

    r^3 = \frac{19125}{\pi }

    r^3 = \frac{19125}{3.14}

    r^3 = 6090.8

    Take cube roots

    r = 18.3 — approximated

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