What is the surface area of the cone 11 h, r 6? Use 3.14 for pi and round to the nearest tenth, if necessary.

Answer 1

The formula for the surface area of a cone is given by:

SA = πr(r + √(h^2 + r^2))

Given that the height (h) is 11 and the radius (r) is 6, we can substitute these values into the formula to calculate the surface area:

SA = 3.14 * 6(6 + √(11^2 + 6^2))
= 3.14 * 6(6 + √(121 + 36))
= 3.14 * 6(6 + √(157))
≈ 3.14 * 6(6 + 12.53)
≈ 3.14 * 6(18.53)
≈ 3.14 * 111.18
≈ 348.41

Therefore, the surface area of the cone is approximately 348.41 square units.