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

120 in.
120 in.

38 in.
38 in.

35 in.
35 in.

17 in.

1 answer

To find the slant height of the cone, you can use the formula:

Total Surface Area = πr(r + s)

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

Given:
Total Surface Area = 625 in^2
Radius = 5 in

625 = π(5)(5 + s)
625 = 25π + 5πs

Subtract 25π from both sides:
625 - 25π = 5πs

Divide both sides by 5π:
(625 - 25π)/(5π) = s

Approximately, the slant height is s ≈ 38 in. (rounded to the nearest whole number)

Therefore, the correct answer is:
38 in.