Question

In the anime Attack on Titans, the soldier Eren Yeager is training in an open field near a flagpole.

Eren estimated that the cylindrical flagpole has a radius of 0.8 inches and a surface area of 365 in2
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What is the height of the pole? Write & solve an algebraic equation.
Round all values to the nearest whole number.

Answer 1

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We can use the formula for the surface area of a cylinder, which is:

S = 2πrh + 2πr^2

where S is the surface area, r is the radius, and h is the height of the cylinder.

Substituting the given values, we get:

365 = 2π(0.8)h + 2π(0.8)^2

Simplifying and solving for h, we get:

365 = 4.032h + 3.2

361.8 = 4.032h

h ≈ 90

Therefore, the height of the flagpole is approximately 90 inches.