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The formula for the lateral surface area of a cylinder is S=2πrhS=2πrh , where r is the radius of the bases and h is the height.

Solve for h.


h=r/2Sπ

h=2Sπr

h=S/2πr

h=Sr/2π

Respuesta :

bamaboy3
First you want to get h alone so you divide 2πr by s so your answer would be
h=S/2πr


calculista

Answer:

[tex]h=S/(2\pi r)[/tex]

Step-by-step explanation:

we know that

The surface lateral area of a cylinder is equal to

[tex]S=2\pi rh[/tex]

where

r is the radius of the base of the cylinder

h is the height of the cylinder

Solve for h-------> means isolate the variable h

so

Divide by [tex]2\pi r[/tex] both sides

[tex]S/(2\pi r)=2\pi rh/(2\pi r)[/tex]

Simplify

[tex]h=S/(2\pi r)[/tex]

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