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antiseptic1488 [7]
3 years ago
5

3

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

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

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