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

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

GgRed

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.