You have a cylinder and you want to double its volume. Should you double it’s radius or its height, or could you do either? why or why not?

Question

asked Jan 21, 2020 207k views

1 Answer

Nimblejoe · Answer 1 · 2020-01-25T16:01:02+0000

Answer: I should its height. I cannot do either, because if I double the radius, the Volume will quadruplicate.

Step-by-step explanation: the volume of a cylinder is

V = Ab.h = πr².h

Double h

V₁ = πr².2h = 2πr².h = 2V

Double r

V₂ = π(2r)².h = π4r².h = 4πr².h = 4V