Section 1
Volume of a Cylinder
Property
Volume is the amount of space contained within a three-dimensional object. It is measured in cubic units, such as cubic feet or cubic centimeters.
Cylinder Volume Formula:
In this Grade 7 lesson from Big Ideas Math Advanced 2, students learn how to calculate the volume of a cylinder using the formula V = πr²h, as well as how to work backwards to find an unknown height when the volume is given. The lesson connects the cylinder volume formula to the general prism volume formula (V = Bh) and applies these concepts to real-life problems involving containers and unit conversion.
Section 1
Volume of a Cylinder
Volume is the amount of space contained within a three-dimensional object. It is measured in cubic units, such as cubic feet or cubic centimeters.
Cylinder Volume Formula:
Section 2
The Height and Volume of Cylinders
A cylinder is a solid figure with two parallel circular bases of the same size. For a cylinder with radius and height :
Volume: or (where is the area of the base)
Section 3
Water Displacement Method for Volume
When an object is submerged in water, the volume of water displaced equals the volume of the object:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Volume of a Cylinder
Volume is the amount of space contained within a three-dimensional object. It is measured in cubic units, such as cubic feet or cubic centimeters.
Cylinder Volume Formula:
Section 2
The Height and Volume of Cylinders
A cylinder is a solid figure with two parallel circular bases of the same size. For a cylinder with radius and height :
Volume: or (where is the area of the base)
Section 3
Water Displacement Method for Volume
When an object is submerged in water, the volume of water displaced equals the volume of the object:
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter