Geometry

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15.) Find the volume of a barber's pole having the shape of a right circular cylinder of radius 5 in. and
height 29 in. topped by a sphere of the same radius. Round to the nearest tenth, if necessary.

A) 2276.5 in.3 B) 2799.8 in.3 C) 1046.7 in.3 D) 4553.0 in.3

  • Geometry -

    The volume of a cylinder is V = pi * r^2 * h, and the volume of a sphere is V = (4/3) * pi * r^3.

    The volume of the barber pole including the sphere can be found by adding the volume of the cylindrical part to the volume of the spherical part.

    You are given that the radius is 5in and the height is 29in. Can you find the volume?

  • Geometry -

    2 parts:
    1. the cylinder: V = pi(5^2)(29) = 725pi
    2. the cap: V = (4/3)pi(5^3) = (500/3)pi

    Evaluate and see which matches your choices
    (I got 2801.3 rounded to one decimal, the closest is B), looks like they used 3.14 for pi, a rather primitive choice for pi)

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