Write the statement as a power function equation. Use k as the constant of variation.
-The height h of a cone with a fixed volume varies inversely as the square of its radius r.
A) $h = k r ^ { 2 }$
B) $\mathrm { r } ^ { 2 } = \mathrm { kh }$
C) $h = \frac { r ^ { 2 } } { k }$
D) $h = \frac { k } { r ^ { 2 } }$

Question

Quizplus · Accepted Answer

When a quantity varies inversely as the square of another, it is represented by the equation $y = \frac{k}{x^2}$. In this case, the height $h$ varies inversely as the square of the radius $r$, so the correct equation is $h = \frac{k}{r^2}$.

Write the Statement as a Power Function Equation h=kr2h = k r ^ { 2 }h=kr2

Write the Statement as a Power Function Equation $h = k r ^ { 2 }$