Question

4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.

Answer: 2 pie (12x^2 -5x -2) or just D

Answer 1

D is your answer. For the entire quick check its.
A-D-B-D-C
100% correct

Answer 2

Answer:
`(24\pi x^2 - 10\pi x - 4\pi)` square centimeters

Step-by-step explanation:

Let


`image`

Then the surface area of the cylinder is given by


`A = 2\pi r^2 + 2\pi rh \\ewline \indent = 2\pi r (r+h) \\ewline \indent = 2\pi (3x - 2) (\left ( 3x - 2 \right ) +\left (x + 3 \right )) \\ewline \indent = 2\pi (3x - 2) (4x + 1) \\ewline \indent = 2\pi (12x^2 - 5x - 2) \\ewline \indent \boxed{A = (24\pi x^2 - 10\pi x - 4\pi)cm^2}`