Answer:
radius = 11.00 yd (to the nearest hundredth)
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^2h[/tex], where [tex]r[/tex] = radius and [tex]h[/tex] = height
Therefore, for this problem: volume = 6458.98, [tex]\pi[/tex] = 3.14, [tex]h[/tex] = 17
Substituting these values into the above formula:
Volume = [tex]\pi r^2h[/tex],
6458.98 = 3.14 x [tex]r^2[/tex] x 17
6458.98 = 53.58 x [tex]r^2[/tex]
[tex]r^2[/tex] = 6458.98 ÷ 53.58 = 121
[tex]r[/tex] = √121
[tex]r[/tex] = 11
[tex]r[/tex] = 11.00 yd (to the nearest hundredth)
