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This is the Crailsheim water tower in Baden-Württemberg, Germany. Its construction was completed in 1912.

The base of the tower is a graduated cylinder about 19.2 m high with a diameter of 11.5 m at the base and 8.1 m at the top.

a)The spherical tank holds 4.08  102 m3. What is the radius of the sphere?

b)What is the area of the floor at the bottom of the tower?

c)What is the circumference at the top of the graduated cylinder?

d)What is the circumference at the bottom of the graduated cylinder?

e)Calculate the surface area of the walls of the graduated cylinder. (Hint: if you slice the graduated cylinder open and unroll it, you get a trapezoid.)

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