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Letβs check out your problem:
What is the volume of this cylinder? Use
Ο
β
3.14
\pi \approx 3.14
Ο
β
3.14
and round your answer to the nearest hundredth.
10
β
m
10\,\text{m}
10
m
7
β
m
7\,\text{m}
7
m
cubic meters
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Home
Math Problems
Grade 8
Volume of cylinders
Full solution
Q.
What is the volume of this cylinder? Use
Ο
β
3.14
\pi \approx 3.14
Ο
β
3.14
and round your answer to the nearest hundredth.
10
β
m
10\,\text{m}
10
m
7
β
m
7\,\text{m}
7
m
cubic meters
Write formula for volume:
The formula for the volume of a cylinder is
V
=
Ο
r
2
h
V = \pi r^2 h
V
=
Ο
r
2
h
. We have
r
=
7
β
m
r = 7\, \text{m}
r
=
7
m
and
h
=
10
β
m
h = 10\, \text{m}
h
=
10
m
.
Substitute values into formula:
Plug the values into the formula:
V
=
3.14
Γ
7
2
Γ
10
V = 3.14 \times 7^2 \times 10
V
=
3.14
Γ
7
2
Γ
10
.
Calculate radius squared:
Calculate the radius squared:
7
2
=
49
7^2 = 49
7
2
=
49
.
Multiply values:
Now multiply
Ο
\pi
Ο
, the radius squared, and the height:
V
=
3.14
Γ
49
Γ
10
V = 3.14 \times 49 \times 10
V
=
3.14
Γ
49
Γ
10
.
Perform final calculation:
Do the multiplication:
V
=
3.14
Γ
490
V = 3.14 \times 490
V
=
3.14
Γ
490
.
Perform final calculation:
Do the multiplication:
V
=
3.14
Γ
490
V = 3.14 \times 490
V
=
3.14
Γ
490
.Finish the calculation:
V
=
1538.6
V = 1538.6
V
=
1538.6
cubic meters.
More problems from Volume of cylinders
Question
A cylindrical soda can has a volume of
108
Ο
Β
cm
3
108\pi\ \text{cm}^{3}
108
Ο
Β
cm
3
and a height of
12
cm
12\text{cm}
12
cm
. What is the surface area of the soda can in square centimeters?
\newline
Choose
1
1
1
answer:
\newline
(A)
18
Ο
cm
2
18\pi\text{cm}^{2}
18
Ο
cm
2
\newline
(B)
36
Ο
cm
2
36\pi\text{cm}^{2}
36
Ο
cm
2
\newline
(C)
72
Ο
cm
2
72\pi\text{cm}^{2}
72
Ο
cm
2
\newline
(D)
90
Ο
cm
2
90\pi\text{cm}^{2}
90
Ο
cm
2
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Question
A cake pan is in the shape of a right rectangular prism
20
β
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20\,\text{cm}
20
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β
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20\,\text{cm}
20
cm
wide by
5
β
cm
5\,\text{cm}
5
cm
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1
,
000
β
cm
3
1,000\,\text{cm}^3
1
,
000
cm
3
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\newline
Choose
1
1
1
answer:
\newline
(A)
1
β
cm
1\,\text{cm}
1
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\newline
(B)
2.5
β
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2.5\,\text{cm}
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\newline
(C)
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β
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5\,\text{cm}
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cm
\newline
(D)
7
β
cm
7\,\text{cm}
7
cm
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Question
A contractor is to build a new structure at a farm for seed storage. It will have a rectangular base, which is
20
20
20
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35
35
35
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t
t
t
feet. The structure is
90
90
90
feet tall. Excluding the volume of the walls, which of the following functions best models the volume,
V
V
V
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Posted 1 month ago
Question
Rocio drops a ball from a height of
4
4
4
meters. Rocio observes that each time the ball bounces, it reaches a peak height which is
\newline
79
%
79\%
79%
of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,
\newline
h
h
h
, in meters, after
\newline
b
b
b
bounces?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
h
=
4
β
0.7
9
(
b
β
1
)
h=4\cdot0.79^{(b-1)}
h
=
4
β
0.7
9
(
b
β
1
)
\newline
(B)
\newline
h
=
4
β
0.7
9
b
h=4\cdot0.79^{b}
h
=
4
β
0.7
9
b
\newline
(C)
\newline
h
=
4
β
0.79
β
b
2
h=4-0.79\cdot b^{2}
h
=
4
β
0.79
β
b
2
\newline
(D)
\newline
h
=
4
β
(
1
β
0.79
β
b
2
)
h=4\cdot(1-0.79\cdot b^{2})
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=
4
β
(
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β
0.79
β
b
2
)
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Imani's grandmother's house is
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5
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10
10
10
miles per hour. Which equation best describes the distance,
\newline
d
d
d
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\newline
t
t
t
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\newline
Choose
1
1
1
answer:
\newline
(A)
d
=
5
+
10
t
d=5+10t
d
=
5
+
10
t
\newline
(B)
d
=
5
β
10
t
d=5-10t
d
=
5
β
10
t
\newline
(C)
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=
5
t
+
10
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d
=
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t
+
10
\newline
(D)
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=
5
t
β
10
d=5t-10
d
=
5
t
β
10
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Question
A piece of wood has a mass of
m
1
m_1
m
1
β
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V
1
V_1
V
1
β
cubic centimeters. A second piece of wood has the same density
Ο
\rho
Ο
and a volume of
V
2
V_2
V
2
β
. What is the mass, in grams, of the second piece of wood?
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Posted 2 months ago
Question
The function models
R
R
R
, the revenue, in dollars, from selling a particular board game at a price of
x
x
x
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30
30
30
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\newline
Choose
1
1
1
answer:
\newline
(A)
$
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,
000
\$500,000
$500
,
000
\newline
(B)
$
800
,
000
\$800,000
$800
,
000
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(C)
$
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,
000
\$900,000
$900
,
000
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(D)
$
1
,
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,
000
\$1,770,000
$1
,
770
,
000
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Posted 1 month ago
Question
Rocio drops a ball from a height of
4
4
4
meters. Rocio observes that each time the ball bounces, it reaches a peak height which is
79
%
79\%
79%
of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,
h
h
h
, in meters, after
b
b
b
bounces?
\newline
Choose
1
1
1
answer:
\newline
(A)
h
=
4
β
0.7
9
(
b
β
1
)
h=4\cdot0.79^{(b-1)}
h
=
4
β
0.7
9
(
b
β
1
)
\newline
(B)
h
=
4
β
0.7
9
b
h=4\cdot0.79^{b}
h
=
4
β
0.7
9
b
\newline
(C)
h
=
4
β
0.79
β
b
2
h=4-0.79\cdot b^{2}
h
=
4
β
0.79
β
b
2
\newline
(D)
h
=
4
β
(
1
β
0.79
β
b
2
)
h=4\cdot(1-0.79\cdot b^{2})
h
=
4
β
(
1
β
0.79
β
b
2
)
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Question
What is the volume, in cubic inches, of a rectangular prism with a height of
7
7
7
inches, a width of
5
5
5
inches, and a length of
5
5
5
inches?
\newline
Answer:
V
=
β‘
V=\square
V
=
β‘
inches
3
^{3}
3
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Question
A rectangular prism has a length of
2
2
2
inches, a height of
16
16
16
inches, and a width of
15
15
15
inches. What is its volume, in cubic inches?
\newline
Answer:
V
=
β‘
V=\square
V
=
β‘
inches
3
^{3}
3
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