Question

Find the surface area of the cylinder.

A: 351.7cm²
B: 502.4cm²
C: 256.7cm²
D: 35.2cm²

Answer 1

Explanation:

First, we need to know the formula for find the surface area of a cylinder.

`SA=2\pi rh+2\pi r^2`

`SA=area(surface)\\r=radius\\h=height`

Next, we need to gather the given information from the diagram so we can plug it into the formula for finding the surface area of a cylinder.

• Radius = 4 cm
• Height = 10 cm

`SA=2\pi (4)(10)+2\pi (4)^2`

`SA=2\pi (40)+2\pi (16)`

`SA=251.2+100.48`

`SA=351.68`

Lastly, we insert the measurement unit that is used in the problem which is cm².

So, the surface area of the cylinder is 351.68 cm². You can also round this answer to 351.7 cm² which is letter choice A.