Question

Please answer as quickly as you can! ♥ Find two possible dimensions for a cylinder that has a volume of 64π cm³.

Answer 1

Answer:

Possible dimensions are $r=4\,\,cm\,,\,h=4\,\,cm$ and $h=16\,\,cm\,,\,r=2\,\,cm$

Step-by-step explanation:

Given:

Volume of a cylinder is $64\pi\,\,cm^3$

To find: Dimensions of a cylinder

Solution:

Let $r,h$ denote height of a cylinder.

Volume of a cylinder = $\pi r^2h$

Therefore,

$64\pi=\pi r^2h\\64=r^2h\\4^2\,4=r^2h$

One possible dimension can be $r=4\,\,cm\,,\,h=4\,\,cm$.

Also, $64=r^2h$ can be written as $16(2^2)=hr^2$

So, another possible dimension can be $h=16\,\,cm\,,\,r=2\,\,cm$