The base of a cylinder has a radius of 9 centimeters. the cylinder is 12 centimeters tall. what is the approximate lateral area of the cylinder? use 3.14 for π and round to the nearest whole number. a. 108 cm2 b. 339 cm2 c. 678 cm2 d. 972 cm2

c. 678 cm²

Step-by-step explanation:

We are given that:

The base of a cylinder has a radius of 9 centimeters.

The cylinder is 12 centimeters tall.

Radius(r)=9 cm

Height(h)=12 cm

We have to find the approximate lateral area of the cylinder.

Lateral area of cylinder= 2πrh

                                     = 2×3.14×9×12

                                    = 678.24 cm²

                                   ≈ 678 cm²

Hence, the correct option is:

 c. 678 cm²

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: