Question

Three large cones hang from the ceiling in an office building in front of a bank of windows. The height of each cone is 12 feet and the circumference of the base of each cone is 8π feet. The base and 50% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.

What is the total surface area painted black? Use π≈3.14.

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

169.65

Explanation:

The surface area of each cone is approximately 113.1 square feet. Half of this surface area is painted red, so approximately 56.55 square feet of each cone is painted black. The total surface area painted black for all three cones is approximately 169.65 square feet.