Calculus Examples

$V = \frac{4}{3} π {(7)}^{3}$

Step 1

Remove parentheses.

$V = \frac{4}{3} \cdot (π \cdot 7^{3})$

Step 2

Remove parentheses.

$V = \frac{4}{3} \cdot π \cdot 7^{3}$

Step 3

Remove parentheses.

$V = \frac{4}{3} \cdot (π {(7)}^{3})$

Step 4

Simplify $\frac{4}{3} \cdot (π {(7)}^{3})$ .

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Step 4.1

Raise $7$ to the power of $3$ .

$V = \frac{4}{3} \cdot (π \cdot 343)$

Step 4.2

Move $343$ to the left of $π$ .

$V = \frac{4}{3} \cdot (343 \cdot π)$

Step 4.3

Multiply $\frac{4}{3} (343 π)$ .

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Step 4.3.1

Combine $343$ and $\frac{4}{3}$ .

$V = \frac{343 \cdot 4}{3} π$

Step 4.3.2

Multiply $343$ by $4$ .

$V = \frac{1372}{3} π$

Step 4.3.3

Combine $\frac{1372}{3}$ and $π$ .

$V = \frac{1372 π}{3}$

$V = \frac{1372 π}{3}$

$V = \frac{1372 π}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$V = \frac{1372 π}{3}$

Decimal Form:

$V = 1436.75504024 \dots$

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