Answer:
length of the radius is 5cm
Step-by-step explanation:
Use formula for Volume of a cylinder to calculate radius;
Volume of a cylinder = [tex]\pi r^{2} h[/tex]
[tex]\pi[/tex] = 3.14 (given)
Volume = 1,728[tex]cm^{3}[/tex]
h = 22cm
r ; radius = ?
Plug in the numbers into the formula;
1,728 = 3.14 *[tex]r^{2} *22[/tex]
1,728 = 69.08[tex]r^{2}[/tex]
Divide both sides by 69.08 ;
1,728 / 69.08 = [tex]r^{2}[/tex]
25.014476 = [tex]r^{2}[/tex]
Find square root of both sides to solve for r;
[tex]\sqrt{25.014476} =r[/tex]
r =5.0014
Therefore the approximate length of the radius is 5cm