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.
The total surface area of a cone can be calculated using the formula A = πr(r + l), where A is the total surface area, r is the radius, and l is the slant height.
Given that the radius is 5 in. and the total surface area is 625 in.2, we can rearrange the formula to solve for the slant height:
625 = π(5)(5 + l)
Now, we can solve for l:
625 = 25π + πl
625 - 25π = πl
l ≈ 625 - 25π ≈ 599.36 in.
Rounded to the nearest whole number, the slant height is approximately 599 in. Therefore, the correct answer is not given in the response options.