Question

The total surface area of a cone is 625 in.2
. If the radius of the cone is 5 in., what is the slant height of the cone? Round the answer to the nearest whole number.(1 point)
Responses

38 in.
38 in.

35 in.
35 in.

120 in.
120 in.

17 in.

Answer 1

Total surface area = πr^2 + πrl = πr(r + l).
With r = 5 and area = 625:

π·5(5 + l) = 625
π(5 + l) = 125
5 + l = 125/π ≈ 39.789
l ≈ 39.789 − 5 = 34.789 ≈ 35 in.

Answer: 35 in.