Question

the surface area of this cone is 648.8496 square millimeters. what is the slant height of this cone? round your answer to the nearest hundredth.

Explanation:

Step1: Recall surface - area formula

$A = \pi r(r + s)$, where $A = 648.8496$, $r=8.2$.

Step2: Substitute values

$648.8496=\pi\times8.2\times(8.2 + s)$.

Step3: Solve for $s$

First, divide both sides by $8.2\pi$. Then subtract 8.2.
$648.8496\div(8.2\pi)- 8.2=s$.
$648.8496\div(8.2\times3.14)-8.2=s$.
$648.8496\div25.748 - 8.2=s$.
$25.2 - 8.2=s$.

Answer:

$17.00$