Respuesta :
Answer:
2πr³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ← r is the radius and h the height
Here h = 2r, hence
V = πr² × 2r = 2πr³
Answer:
[tex]V'=2\pi r^3\ cubic\ units[/tex]
Step-by-step explanation:
Let h is the height of the cylinder and r is the radius of its base. The expression for the volume of the cylinder is given by :
[tex]V=\pi r^2h[/tex]
The height of a cylinder is twice the radius of its base. h' = 2 × r. New volume becomes :
[tex]V'=\pi r^2h'[/tex]
[tex]V'=\pi r^2(2r)[/tex]
[tex]V'=2\pi r^3\ cubic\ units[/tex]
So, the volume of the cylinder is [tex]2\pi r^3\ cubic\ units[/tex]. Hence, this is the required solution.
