Pre-Algebra Examples

 $\begin{array}{r} h = & 5 \\ r = & 1 \end{array}$

The surface area of a cone is equal to the area of the base plus the area of the cone.

$(π \cdot (r a d i u s)) \cdot ((r a d i u s) + \sqrt{{(r a d i u s)}^{2} + {(h e i g h t)}^{2}})$

Substitute the values of the length $r = 1$ and height $h = 5$ into the formula. Pi $π$ is approximately equal to $3.14$ .

$(π \cdot 1) (1 + \sqrt{{(1)}^{2} + {(5)}^{2}})$

Multiply $π$ by $1$ .

$π (1 + \sqrt{{(1)}^{2} + {(5)}^{2}})$

Simplify each term.

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One to any power is one.

$π (1 + \sqrt{1 + {(5)}^{2}})$

Raise $5$ to the power of $2$ .

$π (1 + \sqrt{1 + 25})$

Add $1$ and $25$ .

$π (1 + \sqrt{26})$

Simplify by multiplying through.

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Apply the distributive property.

$π \cdot 1 + π \sqrt{26}$

Multiply $π$ by $1$ .

$π + π \sqrt{26}$

The result can be shown in multiple forms.

Exact Form:

$π + π \sqrt{26}$

Decimal Form:

$19.16063489 \dots$

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