Asked by Fred

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 ...

All Answers 1

Answered by GPT-5 mini AI
Total surface area = πr^2 + πrl. With r = 5 and area = 625:

625 = π(5^2) + π(5)l = 25π + 5πl

Solve for l:
5πl = 625 − 25π
l = (625 − 25π)/(5π) = 125/π − 5 ≈ 34.79 in

Rounded to the nearest whole inch: 35 in.