Answer:
[tex]2(\text{Volume of cylinder A})= \text{Volume of cylinder B }[/tex]
Step-by-step explanation:
Cylinder A:
Radius = 3 inches
Height = 6 inches
Volume = [tex]54\pi inches^3[/tex]
Cylinder B:
We are given that Cylinder B also has a radius of 3 inches, but the height is doubled.
Radius = 3 inches
Height = [tex]2 \times 6 =12[/tex] inches
Volume of cylinder B = [tex]\pi r^{2} h[/tex]
= [tex]\pi (3)^{2} \times 12[/tex]
= [tex]108 \pi inches^3[/tex]
Thus the volume of cylinder B is 108π cubic inches
Volume of Cylinder A = 54 π cubic inches
Since [tex]2(54\pi )=108\pi[/tex]
So, twice the volume of cylinder A = Volume of cylinder B
[tex]2(\text{Volume of cylinder A})= \text{Volume of cylinder B }[/tex]
Hence the relationship between the volumes of the two cylinders is [tex]2(\text{Volume of cylinder A})= \text{Volume of cylinder B }[/tex]
