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Math Problems
Grade 6
Evaluate variable expressions: word problems
Find the volume of a pyramid with a square base, where the area of the base is
6.9
f
t
2
6.9 \mathrm{ft}^{2}
6.9
ft
2
and the height of the pyramid is
3.1
f
t
3.1 \mathrm{ft}
3.1
ft
. Round your answer to the nearest tenth of
a
a
a
cubic foot.
\newline
Answer:
f
t
3
\mathrm{ft}^{3}
ft
3
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What is the volume of a hemisphere with a diameter of
5
m
5 \mathrm{~m}
5
m
, rounded to the nearest tenth of a cubic meter?
\newline
Answer:
m
3
\mathrm{m}^{3}
m
3
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Find the volume of a right circular cone that has a height of
9.6
m
9.6 \mathrm{~m}
9.6
m
and a base with a radius of
2.1
m
2.1 \mathrm{~m}
2.1
m
. Round your answer to the nearest tenth of a cubic meter.
\newline
Answer:
m
3
\mathrm{m}^{3}
m
3
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Find the volume of a right circular cone that has a height of
14.2
m
14.2 \mathrm{~m}
14.2
m
and a base with a radius of
16
m
16 \mathrm{~m}
16
m
. Round your answer to the nearest tenth of a cubic meter.
\newline
Answer:
m
3
\mathrm{m}^{3}
m
3
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Find the volume of a right circular cone that has a height of
9.2
f
t
9.2 \mathrm{ft}
9.2
ft
and a base with a circumference of
7.6
f
t
7.6 \mathrm{ft}
7.6
ft
. Round your answer to the nearest tenth of a cubic foot.
\newline
Answer:
f
t
3
\mathrm{ft}^{3}
ft
3
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Find the volume of a right circular cone that has a height of
13.7
f
t
13.7 \mathrm{ft}
13.7
ft
and a base with a circumference of
18.4
f
t
18.4 \mathrm{ft}
18.4
ft
. Round your answer to the nearest tenth of a cubic foot.
\newline
Answer:
f
t
3
\mathrm{ft}^{3}
ft
3
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Find the volume of a right circular cone that has a height of
5.1
c
m
5.1 \mathrm{~cm}
5.1
cm
and a base with a radius of
17.5
c
m
17.5 \mathrm{~cm}
17.5
cm
. Round your answer to the nearest tenth of a cubic centimeter.
\newline
Answer:
c
m
3
\mathrm{cm}^{3}
cm
3
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Find the volume of a right circular cone that has a height of
10.4
m
10.4 \mathrm{~m}
10.4
m
and a base with a radius of
4.9
m
4.9 \mathrm{~m}
4.9
m
. Round your answer to the nearest tenth of a cubic meter.
\newline
Answer:
m
3
\mathrm{m}^{3}
m
3
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If
2
x
=
−
1
+
y
−
x
y
2x = -1 + y - xy
2
x
=
−
1
+
y
−
x
y
then find the equations of all tangent lines to the curve when
y
=
−
5.
y = -5.
y
=
−
5.
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