Free Printable Volume/Density/Cross-Section/Circle Equations

1.

Number 1

a)

12 in³

b)

24 in³

c)

72 in³

d)

144 in³

2.

Number 2

a)

$40\pi\ in^3$

b)

$100\pi\ in^3$

c)

$160\pi\ in^3$

d)

$240\pi\ in^3$

3.

Number 3

a)

$12\pi\ in^3$

b)

$36\pi\ in^3$

c)

$48\pi\ in^3$

d)

$72\pi\ in^3$

4.

Number 4

a)

$42\pi\ in^3$

b)

$36\pi\ in^3$

c)

$126\pi\ in^3$

d)

$252\pi\ in^3$

5.

Number 5

a)

64 in³

b)

128 in³

c)

192 in³

d)

200 in³

6.

Number 6

a)

$84\pi\ in^3$

b)

$36\pi\ in^3$

c)

$252\pi\ in^3$

d)

$18\pi\ in^3$

7.

Number 7

a)

$15\pi\ in^3$

b)

$18\pi\ in^3$

c)

$30\pi\ in^3$

d)

$33\pi\ in^3$

8.

Number 8

a)

$192\pi\ in^3$

b)

$384\pi\ in^3$

c)

$576\pi\ in^3$

d)

$768\pi\ in^3$

9.

Number 9

a)

$144\pi\ in^3$

b)

$288\pi\ in^3$

c)

$432\pi\ in^3$

d)

$720\pi\ in^3$

10.

Number 10

a)

$9\pi\ in^3$

b)

$18\pi\ in^3$

c)

$36\pi\ in^3$

d)

$72\pi\ in^3$

11.

Number 11

a)

20 cm³

b)

60 cm³

c)

240 cm³

d)

340 cm³

12.

Number 12

a)

904.28 in³

b)

823.22 in³

c)

1728 in³

d)

1440 in³

13.

Number 13

a)

256 in³

b)

240 in³

c)

640 in³

d)

1280 in³

14.

Number 14

a)

506.25 ft³

b)

6075 ft³

c)

19085.18 ft³

d)

21, 365.24 ft³

15.

Number 15

a)

270 ft³

b)

22.5 ft³

c)

3240 ft³

d)

225 ft³

16.

Number 16

a)

24 cm

b)

60 cm

c)

120 cm

d)

240 cm

17.

Number 17a

a)

$\left(x+4\right)^2+\left(y-2\right)^2=9$

b)

$\left(x-4\right)^{2\ }+\left(y\ -\ 2\right)^2=9$

c)

$\left(x+4\right)^2+\left(y+2\right)^2=9$

d)

$\left(x-2\right)^2+\left(y-4\right)^2=9$

18.

Number 17b

a)

$\left(x+3\right)^2+\left(y-1\right)^2=9$

b)

$\left(x+3\right)^2+\left(y+1\right)^2=9$

c)

$\left(x-3\right)^2+\left(y-1\right)^2=9$

d)

$\left(x-3\right)^2+\left(y+1\right)^2=9$

19.

Number 18a

a)

$\left(x+8\right)^2+\left(y-10\right)^2=25$

b)

$\left(x+8\right)^2+\left(y-10\right)^2=5$

c)

$\left(x-8\right)^2+\left(y-10\right)^2=25$

d)

$\left(x+8\right)^2+\left(y+10\right)^2=5$

20.

Number 18b

a)

$\left(x+6\right)^2+\left(y-17\right)^2=1$

b)

$\left(x+6\right)^2+\left(y+17\right)^2=1$

c)

$\left(x-6\right)^2+\left(y-17\right)^2=1$

d)

$\left(x-6\right)^2+\left(y+17\right)^2=1$

21.

Number 19a

a)

$\left(x+4\right)^2+\left(y-8\right)^2=9$

b)

$\left(x+4\right)^2+\left(y-8\right)^2=3$

c)

$\left(x+4\right)^2+\left(y+8\right)^2=81$

d)

$\left(x+4\right)^2+\left(y-8\right)^2=81$

22.

Number 19b

a)

$\left(x-5\right)^2+\left(y-9\right)^2=12$

b)

$\left(x-5\right)^2+\left(y-9\right)^2=144$

c)

$\left(x+5\right)^2+\left(y+9\right)^2=12$

d)

$\left(x+5\right)^2+\left(y+9\right)^2=144$

23.

Number 20

a)

yes

b)

no

24.

Number 21

a)

yes

b)

no

25.

Number 22

a)

$\left(x-1\right)^2+\left(y-9\right)^2=4,\ c:\left(1,\ 9\right),\ r=2$

b)

$\left(x+1\right)^2+\left(y+9\right)^2=4,\ c:\left(1,\ 9\right),\ r=2$

c)

$\left(x-1\right)^2+\left(y-9\right)^2=4,\ c:\left(1,\ 9\right),\ r=4$

d)

$\left(x-1\right)^2+\left(y-9\right)^2=4,\ c:\left(-1,-9\right),\ r=2$

26.

Number 23

a)

$\left(x-3\right)^2+\left(y+10\right)^2=16,\ c:\left(3,\ -10\right),\ r=8$

b)

$\left(x+3\right)^2+\left(y-10\right)^2=16,\ c:\left(3,\ 10\right),\ r=4$

c)

$\left(x+3\right)^2+\left(y+10\right)^2=16,\ c:\left(3,\ 10\right),\ r=4$

d)

$\left(x-3\right)^2+\left(y+10\right)^2=16,\ c:\left(3,\ -10\right),\ r=4$

27.

Number 24

a)

gold with a mass of 22589.31g

b)

gold with a mass of 2728.47g

c)

platinum with a mass of 2728.47g

d)

platinum with a mass of 22589.31g

28.

Number 25

a)

18.78 g/cm³

b)

0.14 g/cm³

c)

7.31 g/cm³

d)

37.34 g/cm³

29.

Number 26

a)

3.26 g/cm³

b)

0.31 g/cm³

c)

213 g/cm³

d)

8150 g/cm³

30.

Number 27a

a)

25 squirrels/acre

b)

75 squirrels/acre

c)

127 squirrels/acre

d)

250 squirrels/acre

31.

Number 27b

a)

200 squirrels/acre

b)

150 squirrels/acre

c)

141 squirrels/acre

d)

250 squirrels/acre

32.

Number 28: Given that these prisms are the same height, what can be said about their volumes?

a)

The prism on the right has a greater volume.

b)

The prism on the left has a greater volume.

c)

Both prisms have the same volume.

d)

There is not enough information to determine an answer.

33.

Number 29a: Describe the cross section formed by the intersection of the plane and the solid.

a)

oval

b)

circle

c)

triangle

d)

rectangle

34.

Number 29b: Describe the cross section formed by the intersection of the plane and the solid.

a)

triangle

b)

triangular pyramid

c)

rectangle

d)

cube

35.

Number 30a: Describe the three-dimensional figure that is formed by rotating about the axis.

a)

rectangle

b)

cube

c)

rectangular prism

d)

cylinder

36.

Number 30b: Describe the three-dimensional figure that is formed by rotating about the axis.

a)

triangle

b)

triangular pyramid

c)

cone

d)

rectangular prism

Volume/Density/Cross-Section/Circle Equations

Total questions: 36

Worksheet time: 3hrs 0mins

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