IXL | Surface area of cylinders

What is the surface area of this cylinder?

Round your answer to the nearest hundredth.

6 yd

3 yd

square yards

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Learn with an example

question

What is the surface area of this cylinder?

Round your answer to the nearest hundredth.

6 yd

4 yd

square yards

key idea

Surface area of a cylinder:

Surface area

A_top + A_bottom + A_side

solution

Find the radius and height of the cylinder.

radius	=	6

height	=	4

Find the area of the circle on the top of the cylinder. Use 3.14 for 𝜋.

A_top

𝜋r²

≈

3.14 × 6 × 6

≈

113.04

The circle on the bottom of the cylinder is the same, so:

A_bottom

A_top ≈ 113.04

Find the circumference of the top circle.

2𝜋r

≈

2 × 3.14 × 6

≈

37.68

Now find the area of the curved surface. The curved surface is a rectangle. One side length is the height, and the other side length is the circumference of the circle.

A_side

≈

37.68

≈

150.72

Now add the areas to find the surface area of the cylinder.

Surface area

A_top + A_bottom + A_side

≈

113.04 + 113.04 + 150.72

≈

376.8

The surface area of the cylinder is about 376.8 square yards.

Looking for more? Try these:

Lesson: Surface area formulas

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