The cone shown has a diameter of 8 centimeters and a slant height of 5 centimeters. Which choice is closest to the total surface area? Use 3.14 to approximate pi.

Respuesta :

Answer:

113 cm²

Step-by-step explanation:

Given:

Diameter of the cone (d) = 8 cm

Slant height of cone (l) = 5 cm

The value of pi is approximated, [tex]\pi=3.14[/tex]

We know that, radius of half of diameter.

Radius = Diameter ÷ 2 = 8 ÷ 2 = 4 cm

Now, total surface area of a cone is given as:

[tex]SA=\pi r(r+l)[/tex]

Plug in the given values and solve for surface area, 'SA'. This gives,

[tex]SA=3.14\times 4(4+5)\\\\SA=12.56\times 9\\\\SA=113.04\approx 113\ cm^2[/tex]

Therefore, the total surface area of the cone is approximately 113 square centimeters.

Answer:

113cm squared

Step-by-step explanation:

after finding the radius diameter divided by 2 use this formula

SA=(pi) r (r+l) solve from there