The volume of a ball, V cm”, is directly proportional to the cube of its radius, r. When r = 7.5. V = 562.54 cm (a) Find the equation connec

Question

The volume of a ball, V cm”, is directly proportional to the cube of its radius, r. When r = 7.5. V = 562.54 cm (a) Find the equation connecting V and r. Give the value of k, the constant, in terms of . (b) Calculate the value of V when r = 9, giving your answer in terms of .​

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Huyền Thanh 4 years 2021-07-22T05:30:48+00:00 1 Answers 23 views 0

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  1. kiet
    0
    2021-07-22T05:32:07+00:00
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    v = k {r}^{3}

    562.54 = k \times {7.5}^{3}

    562.54 = 421.88k

    k = 562.54 \div 421.88

    k = 1.33

    since

    v = k {r}^{3}

    v = 1.33 \times {9}^{3}

    v = 729 \times 1.33

    v = 969.57

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