IXL - Surface area and volume review (Geometry practice)

What is the volume of this cylinder?

Round your answer to the nearest hundredth.

10 in

17 in

cubic inches

ref_doc_title.

Learn with an example

question

What is the surface area of this cylinder?

Round your answer to the nearest hundredth.

15 m

11 m

square meters

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	=	15

height	=	11

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

A_top

𝜋r²

≈

3.14 × 15 × 15

≈

706.5

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

A_bottom

A_top ≈ 706.5

Find the circumference of the top circle.

2𝜋r

≈

2 × 3.14 × 15

≈

94.2

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

≈

94.2

≈

1,036.2

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

Surface area

A_top + A_bottom + A_side

≈

706.5 + 706.5 + 1,036.2

≈

2,449.2

The surface area of the cylinder is about 2,449.2 square meters.

Looking for more? Try these:

Lesson: Surface area formulas

Lesson: Volume formulas

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Teacher tools

Work it out

Not feeling ready yet? These can help:

U.4Surface area of prisms and cylinders

U.5Surface area of pyramids and cones

U.9Volume of spheres

U.8Volume of pyramids and cones

U.7Volume of prisms and cylinders

U.6Surface area of spheres

Lesson: Surface area formulas

Lesson: Volume formulas

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