Total surface area of the cone is 224π cm²
Step-by-step explanation:
- Step 1: Find total surface area when radius = 7 cm and height = 24 cm. Find slant height, l using Pythagoras theorem.
l² = h² + r² = 24² + 7² = 576 + 49 = 625
∴ l = √625 = 25 cm
Total surface area of the cone = πrl + πr² = πr(l + r)
= π × 7 (25 + 7)
= π × 7 × 32
= 224π cm²
