Will mark brainliest thank you! A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π square units. What is the length of the radius of the cylinder?

The answer to your question is 2 units

Step-by-step explanation:

Data

height = 2 radius

Lateral area = 16π u²

radius = ?

Process

1.- Look for the formula of the lateral area of a cylinder

       Lateral area = 2πrh

2.- Substitute values

        16π = 2πr(2r)

3.- Simplification

        16π = 4πr²

4.- Solve for r

         r² = 16π/4π

5.-Simplification

         r² = 4

6.- Find the length of the radius

         r = 2 units

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.