Question

using T.S.A =πr2+πrl use this formula to solve

What is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessary.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for the surface area of the cone, we first need to find the radius and height of the cone.

The diameter of the cone is given as 12 feet, so the radius (r) is half of the diameter: r = 12 feet / 2 = 6 feet.

The slant height (l) is given as 14 feet.

Now we can substitute these values into the formula for the surface area of a cone:

T.S.A = πr^2 + πrl

T.S.A = 3.14 * (6 feet)^2 + 3.14 * 6 feet * 14 feet

T.S.A = 3.14 * 36 square feet + 3.14 * 84 square feet

T.S.A = 113.04 square feet + 263.76 square feet

T.S.A = 376.80 square feet

To round to the nearest tenth, the surface area of the cone is approximately 376.8 square feet.