Respuesta :

Hello from MrBillDoesMath!

Answer:

Let S be the total surface area.  Then

h = ( S - 2 Pi r^2) / ( 2 Pi r)



Discussion:

Let S be the total surface area.  Then

S =                      2Pi r*h + 2 Pi r^2        => subtract 2 PI r^2 from both sides

S - 2 PI r^22 =   2 PI r*h                         => divide both sides by 2 PI r

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Thank you,

MrB

Height of the cylinder is  = ( S - 2 Pi r^2) / ( 2 Pi r)

Surface Area Formula Surface Area Meaning; SA=2B+Ph: Find the area of every face. Add all the areas. SA=B+12sP: Find the area of each face. Add all the areas. SA=2B+2πrh: Find the area of the base, 2 times then add the areas from the areas of the rectangle, which is the circumference times of the height.

Let S be the total surface area.  

Then

S = 2Pi r*h + 2 Pi r^2        => subtract 2 PI r^2 from both sides

S - 2 PI r^22 =   2 PI r*h      => divide both sides by 2 PI r

height = ( S - 2 Pi r^2) / ( 2 Pi r)

How do I calculate the surface area?

The surface area of the sum of all the areas of all the shapes that cover the surface of the object to calculate the surface area of the cube we begin by calculating the area of the 6 faces and then add the areas.

Learn more about surface area here https://brainly.com/question/2835293

#SPJ2