Section 1
The Height and Volume of Cylinders
Property
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)
In this Grade 8 lesson from enVision Mathematics, students learn how to apply the volume formula V = Bh to cylinders by connecting it to what they already know about finding the volume of rectangular prisms. Students practice using the formula V = πr²h to calculate cylinder volume, find unknown measurements such as radius when volume is given, and solve multi-step real-world problems involving cylindrical figures.
Section 1
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 2
Height as a Function of Volume in a Cylinder
To find the height () of a cylinder given its volume () and radius (), you can rearrange the volume formula . By dividing both sides by the area of the base, , we get the formula for height:
Section 3
Solving for the Radius of a Cylinder
To find the radius of a cylinder when given the volume and height, rearrange the volume formula to solve for .
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Section 1
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 2
Height as a Function of Volume in a Cylinder
To find the height () of a cylinder given its volume () and radius (), you can rearrange the volume formula . By dividing both sides by the area of the base, , we get the formula for height:
Section 3
Solving for the Radius of a Cylinder
To find the radius of a cylinder when given the volume and height, rearrange the volume formula to solve for .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter