Question

1.1 part 2
score: 11/15 answered: 12/15
question 8
the volume of a cylinder is given by the formula $v = \pi r^{2}h$. find the height $h$ if the volume is 9.42 cubic feet, the radius is 3 feet and $\pi$ is 3.14.
the height, $h$, is feet
question help: video ebook message instructor

Explanation:

Step1: Rearrange the volume formula for h

Given $V = \pi r^{2}h$, we can solve for $h$ by dividing both sides by $\pi r^{2}$, so $h=\frac{V}{\pi r^{2}}$.

Step2: Substitute the given values

Substitute $V = 9.42$, $r = 3$, and $\pi=3.14$ into the formula for $h$. We get $h=\frac{9.42}{3.14\times3^{2}}$.
First, calculate $3^{2}=9$, then $3.14\times9 = 28.26$.
So $h=\frac{9.42}{28.26}$.

Step3: Calculate the value of h

$\frac{9.42}{28.26}=0.333\cdots=\frac{1}{3}$

Answer:

$\frac{1}{3}$