Calculus Examples

$v = \frac{4}{3} π {(3)}^{3}$

Step 1

Remove parentheses.

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

Step 2

Remove parentheses.

$v = \frac{4}{3} \cdot π \cdot 3^{3}$

Step 3

Remove parentheses.

$v = \frac{4}{3} \cdot (π {(3)}^{3})$

Step 4

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

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Step 4.1

Cancel the common factor of $3$ .

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Step 4.1.1

Factor $3$ out of $π {(3)}^{3}$ .

$v = \frac{4}{3} \cdot (3 (π \cdot 3^{2}))$

Step 4.1.2

Cancel the common factor.

$v = \frac{4}{3} \cdot (3 (π \cdot 3^{2}))$

Step 4.1.3

Rewrite the expression.

$v = 4 \cdot (π \cdot 3^{2})$

$v = 4 \cdot (π \cdot 3^{2})$

Step 4.2

Simplify the expression.

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Step 4.2.1

Raise $3$ to the power of $2$ .

$v = 4 \cdot (π \cdot 9)$

Step 4.2.2

Move $9$ to the left of $π$ .

$v = 4 \cdot (9 \cdot π)$

Step 4.2.3

Multiply $9$ by $4$ .

$v = 36 π$

$v = 36 π$

$v = 36 π$

Step 5

The result can be shown in multiple forms.

Exact Form:

$v = 36 π$

Decimal Form:

$v = 113.09733552 \dots$

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