Answer:
The total surface area of cone is 70π cm² or 219.9 cm².
Step-by-step explanation:
Given that the formula of total surface area of cone is T.S.A = πr² + πrl where r represents radius and l is slant height. So you have to substitute the values :
[tex]t.s.a = \pi {r}^{2} + \pi{r}l[/tex]
[tex]let \: r = 5 \: , \: l = 9[/tex]
[tex]t.s.a = \pi {(5)}^{2} + \pi(5)(9)[/tex]
[tex]t.s.a = 25\pi + 45\pi[/tex]
[tex]t.s. a = 70\pi \: or \: 219.9 \: [/tex]