Answer
$216$.
Work Step by Step
Translate the question
$\Rightarrow y=k\cdot\frac{mn^2}{p}$
Substitute $y=15,m=2,n=1$ and $p=6$ into the equation.
$\Rightarrow 15=k\cdot\frac{(2)(1)^2}{6}$
Simplify.
$\Rightarrow 15=k\cdot\frac{2}{6}$
$\Rightarrow 15=k\cdot\frac{1}{3}$
Multiply both sides by $3$.
$\Rightarrow 15\cdot 3=3k\cdot\frac{1}{3}$
Simplify.
$\Rightarrow 45=k$
Now substitute $k=45,m=3,n=4$ and $p=10$ into the equation.
$\Rightarrow y=45\cdot\frac{(3)(4)^2}{10}$
Simplify.
$\Rightarrow y=45\cdot\frac{48}{10}$
$\Rightarrow y=216$.
