Question

1 if the radius is 6\ and the volume is 1809.56 in³, using the formula for volume v = πr²h, what is the height? a 4\ b 8\ c 16\ d 12\

Explanation:

Step1: Substitute given values into formula

Given $V = 1809.56$, $r = 6$, and the formula $V=\pi r^{2}h$. Substitute to get $1809.56=\pi\times6^{2}\times h$.

Step2: Calculate $\pi\times6^{2}$

$\pi\times6^{2}=\pi\times36\approx3.14\times36 = 113.04$. So the equation becomes $1809.56 = 113.04h$.

Step3: Solve for h

$h=\frac{1809.56}{113.04}=16$.

Answer:

C. 16"