Answer :
The measurement which is closest to the height of this cylinder is: C. 48 in.
Given the following data:
- Volume of cylinder = 8,478 cubic inches
- Radius of cylinder = 15 inches.
To determine the measurement which is closest to the height of this cylinder in inches:
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Where:
- r is the radius.
- h is the height.
Substituting the given parameters into the formula, we have;
[tex]8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}[/tex]
Height, h = 37.38 inches.
Closest height = 48 inches.
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