Grade 7, Measurement and geometry
Volume of cylinders
Find the volume of cylinders as the area of the base times the height.
Three levels
One skill, rising difficulty
Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.
- Level 1: Small radius
- Find the volume of each cylinder. Use 3.14 for pi.
- Level 2: Larger cylinders
- Find the volume of each cylinder. Use 3.14 for pi.
- Level 3: Mixed with a diameter given in words
- Find the volume of each cylinder. Use 3.14 for pi.
Worked example
How the sheet explains it
The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.
Level 1: Small radius
- Volume of a cylinder = area of the base × height.
- The base is a circle. Its area is pi × radius × radius: with 3.14 for pi, 3.14 × 3 × 3 = 28.26 cm².
- Volume = 28.26 × 8 = 226.08 cm³.
Level 2: Larger cylinders
- Volume of a cylinder = area of the base × height.
- The base is a circle. Its area is pi × radius × radius: with 3.14 for pi, 3.14 × 5 × 5 = 78.5 cm².
- Volume = 78.5 × 10 = 785 cm³.
Level 3: Mixed with a diameter given in words
Diameter = 6 cm Height = 10 cm Volume = 282.6 cm³
- The radius is half the diameter: 6 ÷ 2 = 3 cm.
- The base is a circle. Its area is pi × radius × radius: with 3.14 for pi, 3.14 × 3 × 3 = 28.26 cm².
- Volume = 28.26 × 10 = 282.6 cm³.
Goes with
Reference sheets
One-page helpers a student keeps beside this sheet:
- Circles and volume
- Formulas to remember
Every reference, facts and support sheet is listed in the worksheet catalogue.
In the BC curriculum
Content standards
The British Columbia content standard this skill is written for, by the codes used across this site:
- bc.math.7.c.8
The wording of each standard is on the Province's mathematics curriculum page.
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