Answer:
Radius=4, diameter=8 and height =12
Step-by-step explanation:
It is given that Aiden evaluated the expression [tex]{\pi}(16)(12)[/tex] to find the volume of a cylinder, thus using the formula for the cylinder, we have
[tex]V={\pi}r^2h[/tex], (1)
where r is the radius and h is the height of the cylinder.
Thus, the given expression can be written as:
[tex]V={\pi}(16)(12)[/tex] (2)
Now, rewriting equations, (1) and (2), we have
[tex]V={\pi}(4)^2(12)[/tex]
From the above equation, we have the value of [tex]r=4[/tex] and the value of height that is [tex]12[/tex].
Hence, the radius of cylinder is [tex]r=4[/tex], thus teh diameter of teh cylinder will be:
[tex]D=2r=2(4)=8[/tex]
Also, the height of the cylinder is 12.
Therefore, the dimensions of cylinder will be:
Radius=4, diameter=8 and height =12
