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a candle in the shape of a cone has a slant height of 20 cm and a diameter that measures 18 cm. what is the surface area of the candle? (use 3.14 for pi and round to the nearest hundredth. recall the formula sa=pi rl + pi r^2.)
536.94 cm^2
819.54 cm^2
1,821.20 cm^2
2,147.76 cm^2

819.54 cm^2

Step-by-step explanation:

We are given

Slant height = l = 20cm

and

Diameter = d = 18 cm

We have to find radius first

r = d/2 = 18/2 = 9 cm

The formula for surface area is:

As second option is nearest to calculated answer, it is the correct option ..

second option.

Step-by-step explanation:

We know that we can calculate the surface area of a cone with this formula:

Where "r" is the radius and "l" is the slant heigth.

We know that the radius is half the diameter, then the radius of this cone is:

Since we know the radius and the slant height, we can substitute values into the formula, using 3.14 for π.

Therefore, we get: