Question: what is the surface area of the cone:
Solution:
Let the following cone:
The surface area of the above cone is given by the following formula:
[tex]SA\text{ = }\pi rs\text{ +}\pi\text{ }r^2[/tex]
thus, applying the data of the problem to the previous formula, we obtain:
[tex]SA\text{ = }\pi(16)22\text{ + }\pi(16)^2[/tex]
this is equivalent to:
[tex]SA\text{ = 352}\pi\text{ + 256}\pi\text{ = 608}\pi\approx1909.12[/tex]
then, the correct answer is:
[tex]SA\text{ = }1909.12cm^2[/tex]
