The ratio of the volume of cylinder A to the volume of cylinder B is 1/2. Then the correct option is C.
What is Geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
What is a cylinder?
A cylinder is a 3D closed solid that has two parallel circular bases connected by a curved surface.
Cylinder A has a radius of 1 m and a height of 4 m.
Cylinder B has a radius of 2 m and a height of 4 m.
The volume of cylinder A will be
[tex]\rm volume\ of\ cylinder\ A = \pi * r^2 *h\\\\volume\ of\ cylinder\ A = \pi * 1^ * 4\\\\volume\ of\ cylinder\ A = 4 \pi[/tex]
The volume of cylinder B will be
[tex]\rm volume\ of\ cylinder\ B= \pi * r^2 *h\\\\volume\ of\ cylinder\ B= \pi * 2^ * 4\\\\volume\ of\ cylinder\ B= 8 \pi[/tex]
Then the ratio of the volume of cylinder A to the volume of cylinder B will be
[tex]\rm \dfrac{volume\ of\ cylinder\ A}{volume\ of\ cylinder\ B} = \dfrac{4 \pi}{8\pi}\\\\\\\dfrac{volume\ of\ cylinder\ A}{volume\ of\ cylinder\ B} = \dfrac{1}{2}[/tex]
The ratio of the volume of cylinder A to the volume of cylinder B is 1/2.
Thus, the correct option is C.
More about the geometry link is given below.
https://brainly.com/question/7558603
