Answer:
Surface area: 6849.54 cm²
Volume: 3665.19 cm³
Step-by-step explanation:
Surface area = cone curved SA + hemisphere curved SA
= πrl + 2πr ²
= (10π × (√10² + 15²)) (pythagorean theorem used to find slant height) + (2π × 10³)
= 6849.54 cm²
Volume = cone volume + hemisphere volume
= (πr²h)/3 + (2πr³)/3
= (10²π × 15)/3 + (2π × 10³)/3
= (1500π / 3) + (2000π / 3)
= 3500π / 3 (like terms, π, added to make it simpler)
= 3665.19 cm³