The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Since the base of a cylinder is circular in shape, the circumference is expressed as;
C = 2πr
Given that the circumference of the base is 84 in, we can now calculate the radius r.
C = 2πr
84in = 2 × 3.14 × r
84in = 6.28 × r
r = 84in / 6.28
r = 13.4in
Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.
V = π × r² × h
20214in³ = 3.14 × ( 13.4in)² × h
20214in³ = 3.14 × 179.56in² × h
20214in³ = 563.8in² × h
h = 20214in³ / 563.8in²
h = 35.9in
Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.
Learn more about volume of cylinder here: brainly.com/question/16788902
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