Pre-Algebra Examples

$v = \frac{1}{2} \cdot (3.14 r^{2} h)$

Step 1

Remove parentheses.

$v = \frac{1}{2} \cdot ((3.14 r^{2}) h)$

Step 2

Remove parentheses.

$v = \frac{1}{2} \cdot (3.14 r^{2} h)$

Step 3

Simplify $\frac{1}{2} \cdot (3.14 r^{2} h)$ .

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Step 3.1

Multiply $\frac{1}{2} (3.14 r^{2} h)$ .

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Step 3.1.1

Combine $3.14$ and $\frac{1}{2}$ .

$v = \frac{3.14}{2} (r^{2} h)$

Step 3.1.2

Combine $r^{2}$ and $\frac{3.14}{2}$ .

$v = \frac{r^{2} \cdot 3.14}{2} h$

Step 3.1.3

Combine $\frac{r^{2} \cdot 3.14}{2}$ and $h$ .

$v = \frac{r^{2} \cdot 3.14 h}{2}$

$v = \frac{r^{2} \cdot 3.14 h}{2}$

Step 3.2

Move $3.14$ to the left of $r^{2}$ .

$v = \frac{3.14 \cdot r^{2} h}{2}$

Step 3.3

Factor $3.14$ out of $3.14 \cdot r^{2} h$ .

$v = \frac{3.14 (r^{2} h)}{2}$

Step 3.4

Factor $2$ out of $2$ .

$v = \frac{3.14 (r^{2} h)}{2 (1)}$

Step 3.5

Separate fractions.

$v = \frac{3.14}{2} \cdot \frac{r^{2} h}{1}$

Step 3.6

Divide $3.14$ by $2$ .

$v = 1.57 \frac{r^{2} h}{1}$

Step 3.7

Divide $r^{2} h$ by $1$ .

$v = 1.57 r^{2} h$

$v = 1.57 r^{2} h$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$