Pre-Algebra Examples

 $\begin{array}{r} r = & \frac{1}{5} \end{array}$

Step 1

The volume of a sphere is equal to $\frac{4}{3}$ times Pi $π$ times the radius cubed.

$\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}$

Step 2

Substitute the value of the radius $r = \frac{1}{5}$ into the formula to find the volume of the sphere. Pi $π$ is approximately equal to $3.14$ .

$\frac{4}{3} \cdot π \cdot {(\frac{1}{5})}^{3}$

Step 3

Combine fractions.

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Step 3.1

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot {(\frac{1}{5})}^{3}$

Step 3.2

Apply the product rule to $\frac{1}{5}$ .

$\frac{4 π}{3} \cdot \frac{1^{3}}{5^{3}}$

Step 3.3

Combine.

$\frac{4 π \cdot 1^{3}}{3 \cdot 5^{3}}$

Step 4

Simplify the numerator.

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Step 4.1

One to any power is one.

$\frac{4 π \cdot 1}{3 \cdot 5^{3}}$

Step 4.2

Multiply $4$ by $1$ .

$\frac{4 π}{3 \cdot 5^{3}}$

Step 5

Simplify the expression.

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Step 5.1

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

$\frac{4 π}{3 \cdot 125}$

Step 5.2

Multiply $3$ by $125$ .

$\frac{4 π}{375}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{4 π}{375}$

Decimal Form:

$0.03351032 \dots$