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Likurg_2 [28]
2 years ago
13

WILL MARK BRAINLIEST

Mathematics
2 answers:
antoniya [11.8K]2 years ago
7 0

Answer:

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:

SA = \pi rl+\pi r^2\\= (3.14 * 9 * 20) + (3.14 * (9)^2)\\=565.5+254.34\\=819.84\ cm^2

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

scoundrel [369]2 years ago
6 0

Answer: second option.

Step-by-step explanation:

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

SA=\pi rl + \pi r^2

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:

r=\frac{18cm}{2}\\\\r=9cm

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

Therefore, we get:

 SA=(3.14)(9cm)(20cm) + (3.14)(9cm)^2=819.54cm^2

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