Question

Aiden evaluated the expression absmiddle" class="latex-formula">(16)(12) to find the volume of a cylinder. What could be dimensions of the cylinder?

Answer 1

Answer:

Radius=4, diameter=8 and height =12

Step-by-step 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

Answer 2

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