Question

use the formula to determine the value of the indicated variable for the values given. use a calculator when one is needed. v = πr²h; determine h when v = 942, π = 3.14, and r = 5. h = □ (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Substitute given values into formula

Given $V = \pi r^{2}h$, substitute $V = 942$, $\pi=3.14$, and $r = 5$. So we have $942=3.14\times5^{2}\times h$.

Step2: Simplify the right - hand side

First, calculate $5^{2}=25$. Then $3.14\times5^{2}=3.14\times25 = 78.5$. The equation becomes $942 = 78.5h$.

Step3: Solve for h

Divide both sides of the equation $942 = 78.5h$ by $78.5$. So $h=\frac{942}{78.5}=12.00$.

Answer:

$12.00$