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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 .​

Respuesta :

sewaajetunmobi0

[tex]v = k {r}^{3} [/tex]

[tex]562.54 = k \times {7.5}^{3} [/tex]

[tex]562.54 = 421.88k[/tex]

[tex]k = 562.54 \div 421.88[/tex]

[tex]k = 1.33[/tex]

since

[tex]v = k {r}^{3} [/tex]

[tex]v = 1.33 \times {9}^{3} [/tex]

[tex]v = 729 \times 1.33[/tex]

[tex]v = 969.57[/tex]

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