Pre-Algebra Examples

$V = \frac{4}{3} \cdot (π \cdot 5^{3})$

Step 1

Remove parentheses.

$V = \frac{4}{3} \cdot π \cdot 5^{3}$

Step 2

Simplify $\frac{4}{3} \cdot π \cdot 5^{3}$ .

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Step 2.1

Combine $\frac{4}{3}$ and $π$ .

$V = \frac{4 π}{3} \cdot 5^{3}$

Step 2.2

Raise $5$ to the power of $3$ .

$V = \frac{4 π}{3} \cdot 125$

Step 2.3

Multiply $\frac{4 π}{3} \cdot 125$ .

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Step 2.3.1

Combine $\frac{4 π}{3}$ and $125$ .

$V = \frac{4 π \cdot 125}{3}$

Step 2.3.2

Multiply $125$ by $4$ .

$V = \frac{500 π}{3}$

$V = \frac{500 π}{3}$

$V = \frac{500 π}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$V = \frac{500 π}{3}$

Decimal Form:

$V = 523.59877559 \dots$

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