The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.

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The

heightof thestump treewhich can be modeled by considering it as arightcylinderis35.9 inches.## What is a cylinder?

A

cylinderis simply a3-dimensional shapehavingtwo parallel circular basesjoined by acurved surface.The volume of a cylinder is expressed as;

V = π × r² × hWhere r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the

baseof acylinderiscircularinshape, thecircumferenceis expressed as;C = 2πrGiven that the

circumferenceof thebaseis84 in,we can now calculate theradius r.C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4inNow, 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

heighth.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 = 35.9inTherefore, the

heightof thestump treewhich can be modeled by considering it as arightcylinderis35.9 inches.Learn more about

volumeofcylinderhere: brainacademy.pro/question/16788902#SPJ1