Cylinder A has a radius of 1 meter and a height of 9 meters. Cylinder B has a radius of 9 meters and a height of 9 meters. What is the ratio of the volume of cylinder A to the volume of cylinder B?
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
For Cylinder A:
V(A) = π(1^2)(9) = 9π
For Cylinder B:
V(B) = π(9^2)(9) = 729π
Therefore, the ratio of the volume of Cylinder A to the volume of Cylinder B is:
V(A) : V(B) = 9π : 729π
Simplifying the ratio:
V(A) : V(B) = 1 : 81
So, the ratio of the volume of Cylinder A to the volume of Cylinder B is 1:81.