Given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
What is a cylinder?
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 )
Given the data in the question;
- Circumference of the circular base C = 84in
- Volume of the cylinderical tree stump V = 20214in³
First we determine the radius of the circular base.
Since circumference C = 2πr then r = C / 2π.
Hence, the volume of the cylinderical tree stump will be;
V = π × (C / 2π)² × h
V = π × ( C² / 4π² ) × h
V = hC² / 4π
4πV = hC²
h = 4πV / C²
We substitute our given values into the expression
h = ( 4 × 3.14 × 20214in³ ) / (84in)²
h = 253887.84in³ / 7056in²
h = 36.0in
Therefore, given the values of the circumference and volume, the height of the tree trump to the nearest tenth is 36.0in.
Learn more about volume of cylinder here: brainly.com/question/16788902
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