Cylinder and Cone Volume

Formula Volume of a Cylinder

How to find the Volume of a Cylinder

This page examines the properties of a right circular cylinder. A cylinder has a radius (r) and a height (h) (see picture below).

This shape is similar to a soda can. Each cylinder has a radius and height as you can see in the diagram below.

Picture of Right Circular Cylinder

Cylinder Volume Formula

Base by Height Formula Picture
formula of volume

Practice Problems on Area of a Cylinder

Problem 1

What is the volume of the cylinder with a radius of 2 and a height of 6?

Area of Cylinder Example1

Use the formula for the volume of a cylinder as shown below.

  • Volume = Π *(r)2 (h)
  • Volume = Π *(2)2 (6)
  • = 24 Π
Problem 2

What is the volume of the cylinder with a radius of 3 and a height of 5?

Area of Cylinder Example2

Use the formula for the volume of a cylinder as shown below.

  • Volume = Π *(r)2 (h)
  • Volume = Π *(3)2 (5)
  • = 45 Π
Problem 3

What is the area of the cylinder with a radius of 6 and a height of 7?

cylinder problem

Use the area of a cylinder formula.

  • Volume = Π *(r)2 (h)
  • Volume = Π *(6)2 (7)
  • = 252 Π
Back to Geometry next to Surface Area