Problem 27
Question
Solve the formula for the volume of a circular cylinder for \(h\)
Step-by-Step Solution
Verified Answer
The volume formula of a circular cylinder solved for \(h\) is \(h = \frac{V}{\pi r^2}\)
1Step 1: Write down the original volume formula
Begin with the formula for the volume of a cylinder, which is \(V = \pi r^2 h\)
2Step 2: Solve for \(h\)
To solve for \(h\), the other value on the right hand side of the equation needs to be moved to the left. We want to isolate \(h\) , so divide both sides of the equation by \(\pi r^2\), giving the resultant formula as \(h = \frac{V}{\pi r^2}\)
3Step 3: Simplify the formula for \(h\)
The formula now solves for \(h\), so there’s no need for further simplification.
Other exercises in this chapter
Problem 26
Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$7(3 x-2)+5=6(2 x-1)+24$$
View solution Problem 27
Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$x-\frac{3}{4}=\frac{9}{2}$$
View solution Problem 27
Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(3 x+4 \leq 2 x+7\)
View solution Problem 27
Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What is \(3 \%\) of \(200 ?\)
View solution