Question

Aiden evaluated the expression
`\pi`(16)(12) to find the volume of a cylinder. What could be dimensions of the cylinder?

Answer 1

The height is 12cm, and the diameter is 8cm.

Answer 2

Radius=4, diameter=8 and height =12

Explanation:

It is given that Aiden evaluated the expression
`{\pi}(16)(12)` to find the volume of a cylinder, thus using the formula for the cylinder, we have

`V={\pi}r^2h`, (1)

where r is the radius and h is the height of the cylinder.

Thus, the given expression can be written as:

`V={\pi}(16)(12)` (2)

Now, rewriting equations, (1) and (2), we have

`V={\pi}(4)^2(12)`

From the above equation, we have the value of
`r=4` and the value of height that is
`12`.

Hence, the radius of cylinder is
`r=4`, thus teh diameter of teh cylinder will be:

`D=2r=2(4)=8`

Also, the height of the cylinder is 12.

Therefore, the dimensions of cylinder will be:

Radius=4, diameter=8 and height =12