Respuesta :

Answer:

2000.8 m or 2km height

(π 0.07^2)×2000 = 30.78 m^3.


Step-by-step explanation:


The total surface area of a cylinder of radius 7 cm is 880 m^2. Find the height and the volume of the cylinder.


"A cylinder is flat" according to curvature theory (unlike a sphere, where triangle angles can add to more than 180°). So unwrap it and compute area as circumference times height, or height as area divided by circumference. 880m^2 / (2 π 0.07 m) gives height = 2000.8 m or 2km (!!)


The volume of a cylinder is cross section area times height. (π 0.07^2)×2000m = 30.78 m^3.



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