Answer:
Radius = 12 cm
Step-by-step explanation:
Given:
Volume of the cylinder is, [tex]V=3165.12[/tex] cm³
Height of the cylinder, [tex]h= 7[/tex] cm
Let the radius be [tex]r[/tex]
Using the formula for volume of cylinder,
[tex]V=\pi r^2h[/tex]
Plug in 3165.12 for [tex]V[/tex], 7 for [tex]h[/tex] and solve for [tex]r[/tex].
[tex]3165.12=\pi r^2(7)\\3165.12=\frac{22}{7}\times 7\times r^2\\3165.12=22r^2\\r^2=\frac{3165.12}{22}\\r^2=143.869\\r=\sqrt{143.869}=11.99\approx=12\textrm{ cm}[/tex]
Therefore, the radius of the cylinder is nearly 12 cm.
