Basic Math Examples

 $\begin{array}{r} h = & 24 \\ r = & 7 \end{array}$

Step 1

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

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

Step 2

Substitute the values of the length $r = 7$ and height $h = 24$ into the formula. Pi $π$ is approximately equal to $3.14$ .

$(π \cdot 7) (7 + \sqrt{{(7)}^{2} + {(24)}^{2}})$

Step 3

Move $7$ to the left of $π$ .

$7 \cdot π (7 + \sqrt{{(7)}^{2} + {(24)}^{2}})$

Step 4

Simplify each term.

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Step 4.1

Raise $7$ to the power of $2$ .

$7 π (7 + \sqrt{49 + {(24)}^{2}})$

Step 4.2

Raise $24$ to the power of $2$ .

$7 π (7 + \sqrt{49 + 576})$

Step 4.3

Add $49$ and $576$ .

$7 π (7 + \sqrt{625})$

Step 4.4

Rewrite $625$ as $25^{2}$ .

$7 π (7 + \sqrt{25^{2}})$

Step 4.5

Pull terms out from under the radical, assuming positive real numbers.

$7 π (7 + 25)$

Step 5

Simplify the expression.

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Step 5.1

Add $7$ and $25$ .

$7 π \cdot 32$

Step 5.2

Multiply $32$ by $7$ .

$224 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

$224 π$

Decimal Form:

$703.71675440 \dots$