Volume of a cone

Difficulty Standard · Set 8edlx6

Take π as 3.14 and give the answer to two decimal places. A cone is π × r × r × h ÷ 3.

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

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 100% of the problems: the division by 3 was left out.
Answers are a decimal.

Drawing 240 problems from this page produced 59 different ones, 25% — 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.