Answer:
[tex]60\pi\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].
What we're given:
- [tex]r[/tex] of 3 cm
- [tex]\ell[/tex] of 17 cm
Substituting given values, we get:
[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]
