Respuesta :

Answer:

An octagonal prism has 10 faces.

Step-by-step explanation:

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7.5 meters

surface area of a cylinder = 2πrh + 2πr^2

Knowing that radius = 2.5 m, we get:

157.08 = 2π(2.5)h + 2π(2.5)^2

Subtract 2π(2.5)^2 from both sides:

157.08 - 2π(2.5)^2 = 2π(2.5)h

Divide both sides by 2π(2.5) to isolate h:

h = (157.08 - 2π(2.5)^2) / (2π(2.5))

Simplify that with a calculator and you get h = 7.5 meters.