The highway department keeps its sand in a conical storage building that is 24 feet high and 64 feet in diameter. To estimate the cost of painting the building, the lateral surface area of the cone is needed. To the nearest square foot, what is the area?

Answer 1

The lateral surface = πrs, where s = the diagonal distance from base to top, r = radius.

s^2 = h^2 + r^2 (Pythagorean theorem)

I'll let you do the calculations.