The cone shown has a radius of 5 inches and a slant height of 8 inches. Rounded to the nearest whole number, what is the total surface area? Use 3.14 to approximate pi.

1 answer

The total surface area of a cone is given by the formula:

Surface Area = πr^2 + πrl

where r is the radius of the cone and l is the slant height.

Plugging in the values, we have:

Surface Area = 3.14*5^2 + 3.14*5*8
Surface Area = 3.14*25 + 3.14*40
Surface Area = 78.5 + 125.6
Surface Area = 204.1

Rounded to the nearest whole number, the total surface area is 204 inches.