Answer:
3πx³ + 20πx² + 44πx + 32π
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
r = radius of the cylinder
h = height of the cylinder
r = x+2
h = 3x + 8
Volume of a cylinder = πr²h
= π × (x+2)² × 3x + 8
= (3xπ + 8π) × (x + 2)²
= (3πx + 8π) + (x² + 4x + 4)
= 3πx³ + 12πx² + 12πx + 8πx² + 32πx + 32π
= 3πx³ + 20πx² + 44πx + 32π
Note:
(x + 2)²
= (x + 2) (x + 2)
= x² + 2x + 2x + 4
= x² + 4x + 4
