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. Find the ratio of the volume of cylinder A to the volume of cylinder B.

Solution:

The two cylinders mentioned in the problem statement are shown below:

The volume of the cylinder is given as πr²h, where r = radius of the cylinder  and h = height of the cylinder.

Volume of Cylinder 1 = πr₁²h₁ = π(1)²(4) = 4π m³

Volume of Cylinder 2 =  πr₂²h₂ =  π(2)²(4) = 16π m³

The ratio of volume of Cylinder 1 and volume of Cylinder 2 is therefore:

Volume of Cylinder 1 / Volume of Cylinder 2  =  4π / 16π  = 1/4

Alternatively, we can write:

The volume of Cylinder 1: Volume of Cylinder 2:: 1: 4.

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. Find the ratio of the volume of cylinder A to the volume of cylinder B.

Summary:

 The ratio of the volume of cylinder A to the volume of cylinder B is 1:4.