Answer:
Total surface area = 510.2 cm^2
Explanation:
When we have the slant height and radius, one formula for the surface area of a cone we can use is given by:
SA = B + LA, where
- B is the area of the circular base,
- and LA is the lateral area.
B = πr^2 and LA = πrs, where
- r is the radius of the cone's circular base,
- and s is the slant height
Because the radius of the cone's circular base is 7 cm and the cone's slant height is 16.2 cm, we can plug in 7 for r and 16.2 for s in the cone surface area formula and round to find the total surface area of the cone to 1 decimal place:
SA = π(7)^2 + π(7)(16.2)
SA = 49π + 113.4π
SA = 162.4π
SA = 510.1946469
SA = 510.2 cm^2
Thus, the total surface area of the cone is about 510.2 cm^2.