Pre-Algebra Examples

 $\begin{array}{r} h = & 20 \\ r = & 20 \end{array}$

Step 1

The volume of a cylinder is equal to the area of the base $π r^{2}$ times the height.

$π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)$

Step 2

Substitute the values of the radius $r = 20$ and height $h = 20$ into the formula to find the volume of the cylinder. Pi $π$ is approximately equal to $3.14$ .

$π \cdot 20^{2} \cdot 20$

Step 3

Multiply $20^{2}$ by $20$ by adding the exponents.

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Step 3.1

Move $20$ .

$π \cdot (20 \cdot 20^{2})$

Step 3.2

Multiply $20$ by $20^{2}$ .

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Step 3.2.1

Raise $20$ to the power of $1$ .

$π \cdot (20^{1} \cdot 20^{2})$

Step 3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$π \cdot 20^{1 + 2}$

Step 3.3

Add $1$ and $2$ .

$π \cdot 20^{3}$

Step 4

Raise $20$ to the power of $3$ .

$π \cdot 8000$

Step 5

Move $8000$ to the left of $π$ .

$8000 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

$8000 π$

Decimal Form:

$25132.74122871 \dots$