Volume of a cylinder

Difficulty Standard · Set mtn5v5

Take π as 3.14 and give the answer to two decimal places.

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1
A cylinder has radius 2 mm and height 11 mm. What is its volume, in cubic mm?
2
A cylinder has radius 6 mm and height 7 mm. What is its volume, in cubic mm?
3
A cylinder has radius 3 cm and height 7 cm. What is its volume, in cubic cm?
4
A cylinder has radius 6 m and height 11 m. What is its volume, in cubic m?
5
A cylinder has radius 3 mm and height 9 mm. What is its volume, in cubic mm?
6
A cylinder has radius 4 cm and height 10 cm. What is its volume, in cubic cm?
7
A cylinder has radius 2 mm and height 8 mm. What is its volume, in cubic mm?
8
A cylinder has radius 2 mm and height 3 mm. What is its volume, in cubic mm?
9
A cylinder has radius 5 cm and height 8 cm. What is its volume, in cubic cm?
10
A cylinder has radius 4 cm and height 9 cm. What is its volume, in cubic cm?
11
A cylinder has radius 4 mm and height 8 mm. What is its volume, in cubic mm?
12
A cylinder has radius 6 cm and height 3 cm. What is its volume, in cubic cm?
13
A cylinder has radius 6 mm and height 12 mm. What is its volume, in cubic mm?
14
A cylinder has radius 4 cm and height 9 cm. What is its volume, in cubic cm?
15
A cylinder has radius 4 cm and height 8 cm. What is its volume, in cubic cm?
16
A cylinder has radius 5 m and height 7 m. What is its volume, in cubic m?
17
A cylinder has radius 4 cm and height 4 cm. What is its volume, in cubic cm?
18
A cylinder has radius 6 m and height 6 m. What is its volume, in cubic m?
19
A cylinder has radius 4 mm and height 8 mm. What is its volume, in cubic mm?
20
A cylinder has radius 4 mm and height 6 mm. What is its volume, in cubic mm?

What is in this set

The numbers in this set run from 2 to 12.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 79% of the problems: the radius was doubled instead of squared; the volume is the circle’s area, πr², times the height.
Answers are a decimal.

Drawing 240 problems from this page produced 113 different ones, 47% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.