assume that the radius of a cylinder is the same as its height. What would happen to the volume of this cylinder if the radius were doubled and its height was half

Respuesta :

9514 1404 393

Answer:

 volume is doubled

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Then the volume of the modified cylinder is ...

  V = π(2r)²(h/2) = π(4r²)h/2 = 2πr²h . . . . . double the previous volume