Pre-Algebra Examples

 $\begin{array}{r} r = & y h \cdot h \end{array}$

Step 1

The surface area of a sphere is equal to $4$ times Pi $π$ times the radius squared.

$4 π \cdot {(r a d i u s)}^{2}$

Step 2

Substitute the value of the radius $r = y h \cdot h$ into the formula to find the surface area of the sphere. Pi $π$ is approximately equal to $3.14$ .

$4 \cdot π \cdot (y h \cdot h^{2})$

Step 3

Multiply $h$ by $h^{2}$ by adding the exponents.

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Step 3.1

Move $h^{2}$ .

$4 \cdot π \cdot (y (h^{2} h))$

Step 3.2

Multiply $h^{2}$ by $h$ .

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Step 3.2.1

Raise $h$ to the power of $1$ .

$4 \cdot π \cdot (y (h^{2} h^{1}))$

Step 3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 \cdot π \cdot (y h^{2 + 1})$

Step 3.3

Add $2$ and $1$ .

$4 \cdot π \cdot (y h^{3})$

$4 π y h^{3}$