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elena-14-01-66 [18.8K]
3 years ago
14

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.
Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\stackrel{\textit{volume}}{v}=\stackrel{\textit{constant of variation}}{c}\cdot \stackrel{\textit{cube of diameter}}{d^3}\implies v=cd^3
marin [14]3 years ago
4 0

Answer: v=cd^3

Step-by-step explanation:

The equation for direct variation between x and y (dependent variable) is given by :-

y=kx, where k is the proportionality constant.

Let the algebraic expression for the volume of sphere is v and for diameter is d.

The given statement : The volume of a sphere varies directly as the cube of its diameter.

Then the algebraic equation for the given statement will be :-

v=cd^3, where c is the proportionality constant.

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