Answer and step-by-step explanation:

Regina wants to make a cylindrical pencil holder made of cardboard. It should have a height of 6 inches and a diameter of 4 inches. How much cardboard does she need to make her pencil holder?

• We'll be finding the surface area of the cylinder.
• In finding the answer to this problem, we'll be using GRESA method.

G (Given):

• h - 6 inches, d - 4 inches

R (Required):

• How much cardboard does Regina need to made for her pencil holder.

E (Equation):

• [tex]SA = 2\pi \frac{d}{2}h+2\pi (\frac{d}{2})^{2}[/tex] (π = 3.14 - approximate used)
• [tex]SA = 2(3.14) \frac{4~in}{2}(6~in)+2(3.14) (\frac{4~in}{2})^{2}[/tex]

S (Solution):

• [tex]SA = 2(3.14) \frac{4~in}{2}(6~in)+2(3.14) (\frac{4~in}{2})^{2}[/tex]
• [tex]SA = 2(3.14)(2~in)(6~in)+2(3.14) (6~in)^{2}[/tex]
• [tex]SA = 2(3.14)(2~in)(6~in)+2(3.14) (36~in^{2} )[/tex]
• [tex]SA = 2(37.68~in^{2})+2(3.14) (36~in^{2} )[/tex]
• [tex]SA = 2(37.68~in^{2})+2(113.04~in^{2} )[/tex]
• [tex]SA = 75.36~in^{2}+226.08~in^{2}[/tex]
• [tex]\underline{SA = 301.44~in^{2}}[/tex]

A (Answer):

• Regina needs 301.44 in² cardboard to make her pencil holder.

How to use GRESA Method - https://brainly.ph/question/3365237

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