Find the Surface Area cone (9)(5)

 $\begin{array}{r} h = & 9 \\ r = & 5 \end{array}$

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 $r = 5$ and height $h = 9$ into the formula. Pi $π$ is approximately equal to $3.14$ .

$(π \cdot 5) (5 + \sqrt{{(5)}^{2} + {(9)}^{2}})$

Move $5$ to the left of $π$ .

$5 \cdot π (5 + \sqrt{{(5)}^{2} + {(9)}^{2}})$

Simplify each term.

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

$5 π (5 + \sqrt{25 + {(9)}^{2}})$

Raise $9$ to the power of $2$ .

$5 π (5 + \sqrt{25 + 81})$

Add $25$ and $81$ .

$5 π (5 + \sqrt{106})$

Simplify by multiplying through.

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Apply the distributive property.

$5 π \cdot 5 + 5 π \sqrt{106}$

Multiply $5$ by $5$ .

$25 π + 5 π \sqrt{106}$

The result can be shown in multiple forms.

Exact Form:

$25 π + 5 π \sqrt{106}$

Decimal Form:

$240.26319641 \dots$

Find the Surface Area cone (9)(5)

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