A line segment is graphed on a coordinate grid. the endpoints of the line segment are located at (-2,1) and (10,-4) the length in units of the line segment is equivalent to the heights in centimeters of a cone the radius of the circular base of the cone is 5 centimeters which approximation is the closest to the volume, in cubic centimeters of the cone?

V ≈ 340 cm³

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (10, - 4)

d =

   =

   = = = 13

The volume (V) of a cone is calculated as

V = πr²h ( r is the radius and h the height )

here r = 5 and h = 13, thus

V = π × 5² × 13

   = π × 25 × 13

   = π × 325

   = ≈ 340 cm³

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step-by-step explanation: