Question

3

The volume of a cylinder is given by V = nr4h,
where r is the radius of the cylinder and h is the
height. Which expression represents the volume
of this can?
* 371x2 + 471X + 161
Зах? +16л
* 37x +324
37X+20xX? +447x +32

Answer 1

3πx³ + 20πx² + 44πx + 32π

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