Calculate the total surface area of a right circular cone with a height of 14 cm and a base radius of 7 cm.

Explanation

The total surface area of a right circular cone is given by the formula: πr(l + r), where r is the base radius and l is the slant height. First, find the slant height using l = √(r² + h²) = √(7² + 14²) = √(49 + 196) = √245 ≈ 15.65 cm. Then, calculate the surface area: π × 7 × (15.65 + 7) ≈ 3.1416 × 7 × 22.65 ≈ 344.35 cm².