Mathematics

Question

Jordan wants to find the volume of a cylindrical water storage tank. When we walks around the tank, staying as close to the tank wall as possible, he travels 82.1 feet. How can he use this information when finding the volume of the tank?
He can say the radius of the base of the tank is approximately 13 feet.
He can say the radius of the base of the tank is approximately 41 feet.
He can say the area of the base of the tank is approximately 82 feet.
He can say the height of the tank is approximately 82 feet.

2 Answer

  • When we come to think of it, the total distance that Jordan covered after walking around the tank is the circumference of the circular base of the tank. The circumference of a circle is calculated through the equation,
                                   C = 2πr
    Substituting the known values,
                                 82.1 ft = 2πr
    The value of r in the equation is equal to 13 ft. Thus, the answer is the first choice. 
  • Circumference of a circle can tell its radius. Jordan can use this information as: He can say that the  radius of the base of the tank is approximately 13 feet.

    How to find radius of a circle if its circumference is known?

    Circumference of a circle is [tex]2\pi r[/tex] units. where r is its radius.

    Thus,

    radius = Circumference/2π

    For given case, as Jordan is walking along the walls of the cylindrical tank, he is walking along the base of a cylinder(which is a circle), and he walked 82.1 feet, which means the circumference of the base of the cylinder is approx 82.1 feet.

    Thus, we have:

    Radius of base of the cylindrical tank = 82.1/2π ≈ 13.067 feet ≈ 13 feet

    Thus, Jordan can use this information as: He can say that the  radius of the base of the tank is approximately 13 feet.

    Learn more about circumference of circle here:

    https://brainly.com/question/15211210

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