If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height.

The answer is:

The slant height is 13.43 m.

To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:

Where,

r, is the radius of the cone.

l, is the slant height of the cone.

We are given the following information:

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:

Now, calculating the slant height, we have:

Substituting, we have:

Hence, we have that the slant height is 13.43 m.

Have a nice day!

d

step-by-step explanation:

d