NEW
Font size
S
M
L
XL
WorksheetsVolume Of Cylinders, Cones, and Spheres
Total questions: 20
Worksheet time: 19mins
Name
Class
Date
1.
What is the formula for the area of a pyramid?
l=length
w=width
h=height
b=base
l=length
w=width
h=height
b=base
a)
1/3(h*l*w)
b)
b*1/3*h
c)
(l*w/b)b*(9/27)*h
d)
all of the above
2.
What is the formula for volume of a cone?
r=radius
d=diameter
h=height
r=radius
d=diameter
h=height
a)
(pi*r2*h)1/3
b)
(pi*r)2*h*1/3
c)
pi*d2*h*1/3
d)
pi2*r*h/3
3.
What is the volume of a cone which has a radius of 3.1, and a height of 17, round your answer to the nearest tenth. (Use pi=3)
a)
164.4
b)
125
c)
168.5
d)
163.3
4.
Find the volume of a square pyramid, whose altitude is 7 and base length is 17, round your answer to the nearest hundredth, if needed.
a)
721.32
b)
698.73
c)
674.33
d)
651.56
5.
Find the volume of a cylinder, whose height is 27, and whose base diameter is 1/3 of the cylinder's height. (Use pi=3.14)
a)
1716.795
b)
2015.017
c)
1682.34
d)
1954.265
6.
What is the volume of a cone with a radius of 3 and a height of 5? (Use pi=3.14, round to the nearest tenth)
a)
45
b)
42.1
c)
47.1
d)
48.3
7.
Find the volume of a cone, whose diameter is half of the length of a side of a square pyramid, which has a volume of 243, and a height of 9. The cone has a height of 6. (Use pi=3)
a)
30.234
b)
30.377
c)
30.375
d)
30.237
8.
Find the volume of a rectangular pyramid, which has a a base width of 2.1, a base length of 3.6, and a height of 7.
a)
22.31
b)
19.63
c)
18.24
d)
17.64
9.
Find the volume of a cylinder, which has a diameter of 7, and a height of 22.1.(Use pi=3.14)
a)
984.423
b)
764.564
c)
850.0765
d)
872.313
10.
Find the volume of a cone in cm if the cone has a base radius of 3 meters, and a height of 4 meters. (Use pi=3.14)
a)
37680000 cm3
b)
43204000 cm3
c)
72530000 cm3
d)
37.68 cm3
11.
Find the volume of a cylinder which has a diameter of 7, and a height of 17.4. (Use pi=3.14)
a)
872.431
b)
631.234
c)
725.435
d)
669.291
12.
Find the volume of a square pyramid, whose base length is 13.7, and whose height is 1.23?
a)
81.6459
b)
34.2569
c)
82.8764
d)
76.9529
13.
Find the volume of a cone which has a base radius of 7.2, and a height of 3.96. (Use pi=3.14)
a)
214.8664
b)
321.4524
c)
173.4564
d)
272.1234
14.
Find the volume of a square pyramid, with with base length that is 3/4 the diameter of a circle with an area of .16pi, and a height of 17.2
a)
4.127
b)
3.454
c)
2.064
d)
3.12
15.
Find the volume of a cylinder with a circumference of 9pi, and a height of 6.9. (answer in terms of pi)
a)
174.54pi
b)
139.725pi
c)
213.254pi
d)
241.23pi
16.
Find the volume of a cone which has a a diameter of 7.2, and a height of 8. (use pi=3.14)
a)
102.324
b)
108.5184
c)
106.2135
d)
98.34
17.
If a cylinder has a base circumference of 24pi, and a height of of 7, find the volume of a cone that has 3 times the area of the base, and the same height as this cylinder.
(Circumference=pi*d[diameter])
(Circumference=pi*d[diameter])
a)
3165.12
b)
4217.23
c)
3213.22
d)
3874.52
18.
What is the volume of a pyramid if the base has lengths of 3.7, and 2.5, and the pyramid has a height of 3.6666?
a)
12.12534
b)
9.21335
c)
13.243615
d)
11.30535
19.
What is the volume of a square pyramid, which has a base with an area of 36, a slant height of 4, and an altitude of 13? (hint: read the question carefully)
a)
156
b)
17.333
c)
26
d)
48
20.
what is the approximate combined volume of the cylinder and cone shown here (round to nearest tenth)? (Use pi=3.14)
a)
1397.3 cm3
b)
1559.5 cm3
c)
1298.2 cm3
d)
1397.3 cm2
Reset
