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User Doomd
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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.

User LiriB
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