The volume of a cylinder is given by the formula mc021-1.jpg, where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder? r=x-3 h=2x+7

Respuesta :

The volume of a cylinder is given by πr²h
r= x-3, while h =2x+7
Thus; volume = π(x-3)²(2x+7)
                       =π(x²-6x+9)(2x+7)
                       =π( 2x³-12x²+18x +7x²-42x+63
                       = π(2x³-5x²+24x+63) cubic units

It can be express as follows: v = π(2x³- 5x²- 24x + 63) cubic unit

The volume of a cylinder is given as follows

volume = πr²h

where

h = height

r = base radius

Therefore,

r = x - 3

h = 2x + 7

Therefore,

The volume can be express as follows

v = π × (x-3)² × (2x + 7)

v = π × x² - 6x + 9 ×(2x + 7)

v = π × 2x³- 12x² + 18x + 7x² - 42x + 63

v = π × 2x³- 5x²- 24x + 63

v = π(2x³- 5x²- 24x + 63) cubic unit

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