Answer:
Explanation:
Given that,
Lateral area of cone is 574π cm²
A = 574π cm²
Radius of the cone is 19.6cm
r = 19.6cm
What is the slant height
L =?
The lateral surface area of a cone is the area of the lateral or side surface only. So, the lateral area is the curved surface area.
So, curved surface area of a cone is given by.
A = πrL
Where
A is the area of the curved surfacer is the radius of the circle
L is the required slant height
π is a constant
A = πrL
574π = π×19.6×L
574π = 19.6πL
Then, divide both side by 19.6π
L = 574π / 19.6π
L = 29.2857cm
So, to the nearest tenth, nearest tenth means to 1d.p
L = 29.3cm.
The answer is not in the given option but I believe it should be the first option.