Question

Oatmeal is packaged in a right circular cylindrical container that has a radius of 2.5 inches and a height of 10 inches.

What is the surface area of this container in terms of π?

Answer 1

Given:

• Radius of cylinder: 2.5 in
• Height of cylinder: 10 in

Surface area of cylinder: 2πrh + 2πr²

Using the formula:

`2\pi rh + 2\pi r^(2) = \text{Surface area of cylinder}`

`\rightarrow 2(3.14)(2.5)(10) + 2(3.14)(2.5)^(2) = \text{Surface area of cylinder}`

Simplifying the LHS:

`\rightarrow (3.14)(50) + 2(3.14)(6.25) = \text{Surface area of cylinder}`

`\rightarrow (31.4)(5) + (6.28)(6.25) = \text{Surface area of cylinder}`

`\rightarrow \boxed{\bold{196.25 \ in^(2) = \text{Surface area of cylinder}}}`

Answer 2

surface area: 62.5π

Step-by-step explanation:

total surface area of cylinder: 2πr(h+r)

Given:

• radius = 2.5 inch

• height = 10 inch

Solve:

2π(2.5)(10+2.5)

5π(12.5)

62.5π