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

Ward

16 April, 13:37

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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Clara · Answer 1

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)

Deleon · Answer 2

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