Cylinder a has a radius of 1 m and a height of 4 m cylinder B has a radius of 1 m and a height of 8 m what is the ratio of the volume of cylinder a to the volume of cylinder B a…

Question

asked Apr 25, 2020 10.0k views

1 Answer

Jkris · Answer 1 · 2020-05-01T15:41:51+0000

Answer: option a

Explanation:

The volume of a cylinder can be calculated with this formula:

$V=\pi r^2h$

Where the radius is "r" and the height is "h"

Calculate the volume of the Cylinder A:

$V_A=\pi (1m)^2(4m)\\\\V_A=4\pi\ m^3$

Calculate the volume of the Cylinder B:

$V_B=\pi (1m)^2(8m)\\\\V_B=8\pi\ m^3$

Now, the ratio of the volume of the Cylinder A to the volume of the Cylinder B can be calculated with:

ratio=(V_A)/(V_B)

Substituting values, you get:

$ratio=(4\pi\ m^3)/(8\pi\ m^3)$

ratio=(1)/(2) or 1:2