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$V = pi z z a$

The volume of a right circular cylinder is given by the equation

$V=A_bh$ where: $A_b$ = area of the base and $h$ = height

$V = \pi(10^2)(1)\approx \color{#69047E}\large{\boxed{314}}$ $\color{#3D99F6}\boxed{\text{answer}}$

For a cylinder, the volume is:

$V= \pi r^{2} h$

With the way this problem is worded, assigning variables $z$ and $a$ makes it a bit confusing. If you simply say $r=10$ and $h=1$ , it's much easier to just plug those values into the formula above. This would give you:

$V = \pi * 10^{2} * 1 = \pi * 100 * 1 \approx 314.15$

But, if you're going to use those variables, just change the formula to:

$V= \pi z^{2} a$

And plug the values in accordingly, which will give you the same answer.

Rounding $314.15$ to the nearest integer gives you an answer of $314$ .

$\begin{aligned} V &= \text{(Base area)} \cdot \text{(Height)} \\ V &= (\pi \cdot z^2) \cdot (a) \\ V &= (100 \pi) \cdot (1) \\ V &\approx \boxed{314} \end{aligned}$

$100π$ - $zza$ V

The volume of a cylinder is pi * (radius) squared * height.

3.14 * 100 * 1 = 314