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The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters.



What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number.

267 cm2
283 cm2
456 cm2
487 cm

Sagot :

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Answer:

Surface area = 282.6 cm²

Step-by-step explanation:

To find the surface area (S), you need to calculate both the area of the circular base and the lateral surface area.

The formula for the surface area is:

[tex]S=\pi r^{2} +\pi rl[/tex]

We know that:

  • The radius of the circular base of the cone (r) = 5 cm
  • The slant height of the cone (l) = 13 cm

Now, plug those values into the formula with 3.14 as π:

[tex]S=3.14(5^{2} )+3.14(5)(13)[/tex]

[tex]S=78.5+204.1[/tex]

[tex]S=282.6[/tex]

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