Answer:
The volume of cylinder L is 4 times the volume of cylinder B
Step-by-step explanation:
step 1
Find the radius of Cylinder B
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]VB=36\pi\ in^{3}[/tex]
[tex]h=4\ in[/tex]
substitute and solve for r
[tex]36\pi=\pi r^{2} (4)[/tex]
Simplify
[tex]9=r^{2}[/tex]
[tex]r=3\ in[/tex]
step 2
Find the volume of the Cylinder L
we have
[tex]h=4\ in[/tex]
[tex]r=2*(3)=6\ in[/tex]
substitute in the formula
[tex]VL=\pi (6)^{2} (4)[/tex]
[tex]VL=4*(36\pi)\ in^{3}[/tex]
[tex]VL=4VB[/tex]
therefore
The volume of cylinder L is 4 times the volume of cylinder B
