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8 December, 04:09

A right triangle with vertices J (4, 0), K (0,0), and L (0,5) is rotated around the x-axis. To the nearest tenth of a unit, what is the volume of the resulting three-dimensional figure formed? Approximate as 3.14.

a. 83.7 units^3

b. 104.7 units^3

c. 251.2 units^3

d. 314.0 units^3

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Answers (1)
  1. 8 December, 04:23
    0
    This is the concept of graphs and volume of the solid figures, given that the triangle J, K, L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;

    The volume of a cone is given by;

    V=πr^2 (h/3)

    r=5 units

    h=4 units

    V=π*5^2 * (4/3)

    V=104.72 units^3

    the answer is B]
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