Trigonometry Examples

$v = \frac{4}{3} π \cdot 15^{3}$

Step 1

Combine $\frac{4}{3}$ and $π$ .

$v = \frac{4 π}{3} \cdot 15^{3}$

Step 2

Raise $15$ to the power of $3$ .

$v = \frac{4 π}{3} \cdot 3375$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $3375$ .

$v = \frac{4 π}{3} \cdot (3 (1125))$

Step 3.2

Cancel the common factor.

$v = \frac{4 π}{3} \cdot (3 \cdot 1125)$

Step 3.3

Rewrite the expression.

$v = 4 π \cdot 1125$

$v = 4 π \cdot 1125$

Step 4

Multiply $1125$ by $4$ .

$v = 4500 π$

Step 5

The result can be shown in multiple forms.

Exact Form:

$v = 4500 π$

Decimal Form:

$v = 14137.16694115 \dots$

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