The surface are of a cylinder is given by the formula sa=2pir^2+2pirh, where r is the radius of the base of the cylinder and h is the height of the cylinder. solve the formula for h in the space given below. show all the steps.

h = (x-2πr²)/2πr

Step-by-step explanation:

Given the surfaces area of a cylinder by the formula

SA = 2πr²+2πrh

To solve for h means making h the subject of the formula from the equation.

Let x be the surface area of the cylinder. The formula can be rewritten as;

x = 2πr²+2πrh

Subtracting 2πr² from both sides of the equation will give;

x-2πr² = 2πr²+2πrh-2πr²

x-2πr²= 2πrh

Dividing both sides by 2πr wikk results into;

(x-2πr²)/2πr = 2πrh/2πr

h = (x-2πr²)/2πr where x is the surface area of the cylinder.

42.4

step-by-step explanation:

convert to decimal

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9