Question

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.

Answer 1

113cm squared

Explanation:

after finding the radius diameter divided by 2 use this formula

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

Answer 2

113 cm²

Explanation:

Given:

Diameter of the cone (d) = 8 cm

Slant height of cone (l) = 5 cm

The value of pi is approximated,
`\pi=3.14`

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:

`SA=\pi r(r+l)`

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

`SA=3.14* 4(4+5)\\\\SA=12.56* 9\\\\SA=113.04\approx 113\ cm^2`

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