Surface Area & Volume of a Cylinder

Surface Area & Volume of a Cylinder

Multiple Choice

What is a cylinder

• A prism with rectangular bases

• A prism with triangular bases

• A prism with square bases

• A prism with circular bases

Think about the shapes that make up a cylinder

​

The net of a cylinder

​The bases are circles and the lateral surface is a rectangle

​Area of the bases = 2 ⋅ πr²
Area of the lateral surfaces = 2πr ⋅ h
Surface Area of a cylinder = 2πr² + 2πrh

​Surface Area of Cylinders

Match

Match the formulas to

their descriptions.

• A = 2 ⋅ πr²

• A = 2πr ⋅ h

• S.A. = 2πr² + 2πrh

The area of the bases

The area of the lateral surfaces

The Surface Area of a cylinder

• The area of the bases

• The area of the lateral surfaces

• The Surface Area of a cylinder

Multiple Choice

Find the area of the bases. (Use 3.14 for Pi)

• 401.92 cm²

• 403.92 cm²

• 434.92 cm²

• 431.92 cm²

Fill in the Blanks

Multiple Choice

Find the surface area. (Use 3.14 for Pi)

• 1386.24 cm²

• 1326.24 cm²

• 1306.24 cm²

• 1306.14 cm²

Multiple Choice

A tennis ball company packages three tennis balls in a cylindrical-shaped plastic container as shown. If the diameter of each tennis ball is 2.6 inches, what is the minimum amount of plastic needed to make the cylinder?

• 76.2924 cm²

• 71.2924 cm²

• 70.2924 cm²

• 74.2924 cm²

Volume of a cylinder

Just like a prism the volume of a cylinder is the product of the area of the base and height of the cylinder.

Fill in the Blanks

Multiple Choice

The formula for the Area of a circle (B) is

• πd

• 2πr

• πr²

• 2πd

Multiple Choice

Find the volume of the cylinder. (Use 3.14 for Pi)

• 581.83 m³

• 381.68 m³

• 552.68 m³

• 351.68 m³