Question

substitute the given values into the given formula and solve for the unknown variable. if necessary, round to one decimal place. $v = \frac{1}{3}pi r^{2}h$, $v = 340.2$, $pi = 3.14$, $r = 5$ (volume of a cone) $h=square$ (do not round until the final answer. then round to the nearest tenth as needed.)

Explanation:

Step1: Write the volume formula for a cone

$V = \frac{1}{3}\pi r^{2}h$

Step2: Rearrange the formula to solve for h

$h=\frac{3V}{\pi r^{2}}$

Step3: Substitute the given values

Substitute $V = 340.2$, $\pi=3.14$, and $r = 5$ into the formula for h.
$h=\frac{3\times340.2}{3.14\times5^{2}}$

Step4: Calculate the denominator

$3.14\times5^{2}=3.14\times25 = 78.5$

Step5: Calculate the numerator

$3\times340.2 = 1020.6$

Step6: Calculate the value of h

$h=\frac{1020.6}{78.5}=13.0$

Answer:

$13.0$