If the volume of the cylinder is represented by 5x2 + 15x + 2 and the height is 5x, which expression represents the area of the

Question

jeka94

4 years ago

13

If the volume of the cylinder is represented by 5x2 + 15x + 2 and the height is 5x, which expression represents the area of the

base?

Mathematics

1 answer:

Gwar [14] · Answer 1 · 2021-11-24T13:21:02+03:00

Gwar [14]4 years ago

4 0

Given:
V = 5x² + 15x + 2, the volume
h = 5x, the height

Let A = the area of the base.
Because V = Ah, therefore
A*(5x) = 5x² + 15x + 2
$A = \frac{5x^{2}+15x+2}{5x}$

Answer:
$A=x+3+ \frac{2}{5x}$