Respuesta :
Answer:
The measure that can be determined when given the volume and the height is the radius
How to find the measure in the procedure
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
where
r is the radius of the base of the cylinder
h is the height of the cylinder
V is the volume of the cylinder
The measure that can be determined when given the volume and the height is the radius
Steps to find the measure of r
we 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
Sample Response: The area of the base can be calculated by applying the formula for the volume of a cylinder. First, substitute the known measures for their corresponding variables. Then solve for B by applying the division property of equality.