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 (Choose 1):
1187.2 in2
934.4 in2
876.8 in2
1263.7 in2
The surface area of the cone can be calculated using the formula:
Surface Area = πr(r + sqrt(h^2 + r^2))
Given that the base radius (r) is 17.6in and the height (h) is 23.4in, we can plug these values into the formula to calculate the surface area.
Surface Area = π*17.6(17.6 + sqrt(23.4^2 + 17.6^2))
Surface Area = π*17.6(17.6 + sqrt(547.56 + 309.76))
Surface Area = π*17.6(17.6 + sqrt(857.32))
Surface Area = π*17.6(17.6 + 29.27)
Surface Area = π*17.6(46.87)
Surface Area = 932.9 in^2 (rounded to the nearest tenth)
Therefore, the surface area of the cone is 932.9 in^2, which is closest to 934.4 in^2 (rounded to the nearest tenth).