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  3. a cylindrical tower has radius r meters and a roof

A cylindrical tower has radius R meters and a roof which is a hemisphere. The total...

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Advance Math

A cylindrical tower has radius R meters and a roof which is ahemisphere. The total height of the tower is R + H meters.

a)Sketch the tower and label its various measurements usingcylindrical coordinates. Be sure to include a function z = f(r, ?)whose graph is the top of the tower.

b)Write an integral in cylindrical coordinates to express thevolume of the tower.

c)Verify your integral gives the right volume, according to theformula ?R^2H for the volume of a cylinder and 4/3?R^3 for thevolume of a ball.

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