Question

ixl What is the surface area of this cylinder? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. 15 cm 16 cm

Answer 1

We have to calculate the surface area of the cylinder.

It has a base diameter of 16 inches and a height of 15 inches.

The surface area will be equal to the sum of the area of the base, the area of the top (that is equal to the area of the base) and the lateral surface.

The area of the base can be calculated as:

`\text{A}_{\text{b}}=\frac{\pi \text{D}^2}{4}`

`\text{A}_{\text{b}}=(3.14*16^2)/(4)`

`\text{A}_{\text{b}}=(3.14*256)/(4)`

`\text{A}_{\text{b}}=200.96`

The lateral surface will be equal to the circumference of the base times the height. We then can calculate it as:

`\text{A}_\text{l}}=(\pi \text{D})\text{h}`

`\text{A}_\text{l}}=3.14*16*15`

`\text{A}_\text{l}}=753.60`

Then, we can calculate the surface area of the cylinder as:

`\text{A}=\text{A}_\text{b}}+\text{A}_\text{l}}+\text{A}_\text{l}}`

`\text{A}=200.96+200.96+753.60`

`\text{A}=1155.52`

Answer: the surface area is 1155.52 in²