Solve the formula A = 2πrh + 2πr2 for h i have no idea what it means.\, if anyone could help that would be amazing, thanks
A = 2 π r h + 2 π r²
Subtract 2 π r² to both sides
A - 2 π r² = 2 π r h
Divide both sides by 2 π r
( A - 2 π r² ) / 2 π r = h
h = ( A - 2 π r² ) / 2 π r
is it right
Sure! I can help you solve the formula A = 2πrh + 2πr^2 for h.
This equation relates the surface area (A) of a cylinder to its height (h) and radius (r). Let's go step-by-step to solve for h:
Step 1: Start with the formula A = 2πrh + 2πr^2.
Step 2: We want to isolate h on one side of the equation. To do that, we'll begin by subtracting 2πr^2 from both sides:
A - 2πr^2 = 2πrh + 2πr^2 - 2πr^2
Simplifying this equation, we get:
A - 2πr^2 = 2πrh
Step 3: Next, we'll divide both sides of the equation by 2πr to solve for h:
(A - 2πr^2) / (2πr) = (2πrh) / (2πr)
Simplifying:
(A - 2πr^2) / (2πr) = h
Therefore, the formula solved for h is:
h = (A - 2πr^2) / (2πr)
That's it! Now you have the formula solved for h.
Of course! I can help you understand and solve the formula A = 2πrh + 2πr^2 for h.
This formula represents the surface area (A) of a cylinder, which consists of a curved surface and two circular bases. Let's break it down:
A = 2πrh + 2πr^2
In this formula:
- "A" represents the surface area of the cylinder.
- "r" represents the radius of the circular base of the cylinder.
- "h" represents the height of the cylinder.
To solve this formula for "h," we'll isolate "h" on one side of the equation.
First, let's start by subtracting 2πr^2 from both sides to isolate the term with "h":
A - 2πr^2 = 2πrh
Next, divide both sides of the equation by 2πr:
(A - 2πr^2) / (2πr) = h
Therefore, the formula simplified to solve for "h" is:
h = (A - 2πr^2) / (2πr)
To find the value of "h," substitute the given values for "A" and "r" into this equation and perform the calculations.
I hope this clarifies the formula and helps you solve it! Let me know if there's anything else I can assist you with.