Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
= π(5)²
= 25π cm²
Slant height 'AC' = ![\sqrt{AB^2+BC^2}](/tpl/images/1382/8807/f77cd.png)
= ![\sqrt{h^2+r^2}](/tpl/images/1382/8807/96cae.png)
= ![\sqrt{5^2+(12)^2}](/tpl/images/1382/8807/87ed5.png)
= 13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
= 65π + 25π
= 90π cm²
Therefore, SA = 90π cm² will be the answer.
![Find the total surface area of this cone.
Leave your answer in terms of 7.
12cm
5cm
SA = [?]7 cm2
H](/tpl/images/1382/8807/6774a.jpg)