Solve the problem as directed. The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement in algebraic language, using an equation with the variables c, v, and d.

Question

Mathematics

Julie Hutchinson

2 August, 20:31

Solve the problem as directed. The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement in algebraic language, using an equation with the variables c, v, and d.

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Answers (2)

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Annabella Lopez · Answer 1

Answer: a million) d/154 = 14/40 4 bypass multiply: 44d = 2156 d = 40 9 2) i will apply ^ to signify exponents, because of the fact superscript numbers do no longer artwork nicely at right here. c is continuous and represents the ratio of v to d^3 the dating is, subsequently: v = cd^3 3) enable w = wages for 5 adult adult males w/5 = $fifty two. 08/3 bypass multiply: 3w = $260.40 w = $86.80 4) enable x = value of a 9-minute call x/9 = $0. ninety/6 bypass multiply: 6x = $8.10 x = $a million. 35 5) i'm no longer completely confident what's being asked for in this one, yet i'm vulnerable to circulate with: P/a million = V/ok or P:a million = V:ok

Trace Mcconnell · Answer 2

Since we know that our given are:

Volume which is denoted by v; and

Diameter which is denoted by d.

Since we are looking for an equation:

The question clearly states that "v varies directly as the cube of d" means that for some constant c,

v = c d^3 [where ^ specifies the 3 is an exponent]

so

c = v / (d^3)