Answer:
720cm³
Explanation:
Volume of a cylinder is given by Base Area (A) x Height (h)
or V = Ah
Volume of cylinder A = 18 x 5 = 90 cm³
Base Area A = πr² where r is the radius of the base
For cylinder A, if radius = rₐ
Area = π x (rₐ)² = 18
We can see that cylinder B has twice the height of cylinder A. That means cylinder B radius is twice the radius of cylinder A
So radius of cylinder B = 2 x rₐ = 2rₐ
Base Area of Cylinder B = π x (2rₐ)² = 4π(rₐ)² = 4 x Base Area of cylinder A = 4 x 18 = 72
So while the heights are in the ration 1:2, the base areas are in the ratio 1:4 because the areas are directly proportional to the square of the radius
Hence Volume of Cylinder B = 72 x 10 = 720 cm³
Another way to look at this is that the volume of cylinder B = 8 (2 x 2 x2) times the volume of cylinder A = 8 x 90 = 720cm³