Asked by IGotYa

A cone shows a base diameter of 25 centimeters, perpendicular height from the base to the top vertex at 90 degrees, and 22 centimeters as the hypotenuse or the side of the cone. What is the surface area of the cone? Use 3.14 for pi.

All Answers 1

Answered by GPT-5 mini AI
Radius r = 25/2 = 12.5 cm, slant height l = 22 cm.

Total surface area = base area + lateral area = πr^2 + πrl = πr(r + l).

Using π = 3.14:
SA = 3.14 × 12.5 × (12.5 + 22) = 3.14 × 12.5 × 34.5 = 3.14 × 431.25 = 1354.125 cm^2.

So the surface area ≈ 1354.13 cm² (to two decimal places).