Q:

What measures of a cylinder can be determined when given the volume and the height? Describe how to find the measure.

Accepted Solution

A:
Answer:The measure that can be determined when given the volume and the height is the radiusHow to find the measure in the procedureStep-by-step explanation:we know thatThe volume of the cylinder is equal to[tex]V=\pi r^{2} h[/tex]wherer is the radius of the base of the cylinderh is the height of the cylinderV is the volume of the cylinderThe measure that can be determined when given the volume and the height is the radiusSteps to find the measure of rwe have[tex]V=\pi r^{2} h[/tex]Divide by (pi h) both sides[tex]r^{2}=V/(\pi h)[/tex]square root both sides[tex]r=\sqrt{\frac{V}{\pi h}}[/tex]substitute the given values of V and h in the formula to calculate the radius r