The base radius of a cone equals 17.6in the height equals 23.4
Find the surface area of the cone. Round your answer to the nearest tenth. (1 point) Responses 1187.2 in2 1187.2 in2 934.4 in2 934.4 in2 876.8 in2 876.8 in2 1263.7 in2
To find the surface area of a cone, we use the formula:
Surface Area = πr(r + √(r^2 + h^2))
Given:
r = 17.6 in
h = 23.4 in
Surface Area = π * 17.6(17.6 + √(17.6^2 + 23.4^2))
Surface Area = 3.14 * 17.6(17.6 + √(309.76 + 547.56))
Surface Area = 3.14 * 17.6(17.6 + √857.32)
Surface Area = 3.14 * 17.6(17.6 + 29.27)
Surface Area = 3.14 * 17.6(46.87)
Surface Area = 3.14 * 874.72
Surface Area = 2745.9568 in²
Rounded to the nearest tenth, the surface area of the cone would be 2745.96 in².