Pre-Algebra Examples

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

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

$(π \cdot r) (r + \sqrt{{(r)}^{2} + {(h)}^{2}})$

Step 3

Remove parentheses.

$π r (r + \sqrt{r^{2} + h^{2}})$

Step 4

Apply the distributive property.

$π r \cdot r + π r \sqrt{r^{2} + h^{2}}$

Step 5

Multiply $r$ by $r$ by adding the exponents.

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Step 5.1

Move $r$ .

$π (r \cdot r) + π r \sqrt{r^{2} + h^{2}}$

Step 5.2

Multiply $r$ by $r$ .

$π r^{2} + π r \sqrt{r^{2} + h^{2}}$