Me i dont have a long time ): the lateral area of a cone is 574 pi cm^2. the radius is 19.6 cm. what is the slant height to the nearest tenth of a centimeter? 9.3 cm 29.9 cm 42.5 cm 92.0 cm

Step-by-step 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.

d

step-by-step explanation: