4/29/2015
Question 1
Find the
Volume of
the prism
V = Bh
B = 24
h=5
V = (24)(5)
V = 120 cm3
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4/29/2015
Question 2
Find the volume of the right
triangular prism. Round answer
to the nearest tenth.
V = Bh
B = 1/2bh
B = ½ (12)(5) = 30
h=4
V = (30)(4)
V = 120 in3
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4/29/2015
Question 3
Find the height of the prism if the
volume is 140 cm3
Find the height of the prism if
the volume is 140 cm3
V = Bh
140 = (1/2(8)(5))w
140/20 = w
w = 7 cm
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4/29/2015
Question 4
Find the surface
area and volume of
the square pyramid
10
7
Find the volume of the
square pyramid
10
SA = B + 1/2Pl
SA = 49 + ½(28)(10)
SA = 189
7
V = 1/3 Bh
102 = 3.52 + h2
V = (1/3)(49)(9.37)
h = 9.37
V = 153.04
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4/29/2015
Question 5
Find the volume of a
sphere with a diameter of
20 cm. Round answers to
the nearest whole number.
Find the volume of a sphere with a
diameter of 20 cm. Round answers to
the nearest whole number.
r = 20/2 = 10 cm
V = 4/3πr3
V = 4/3π(10)3
V = 4187 cm3
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4/29/2015
Question 6
6
Find the volume of the
solid shown. The height
of the cylinder is 24 and
the radius of the base is
6. Leave answers in
terms of π.
24
Total Volume = Cylinder +
Hemisphere
6
Cylinder = Bh
Cylinder = π(62)24
Cylinder = 864π
Hemisphere = (1/2)(4/3) π(r3)
24
Hemisphere = (2/3) π(63)
Hemisphere = 144π
Total = 144π + 864π
Total = 1008π
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4/29/2015
Question 7
Find the volume
of the right
hexagonal
pyramid. Round
answers to the
nearest tenth.
Find the volume of the right
hexagonal pyramid. Round
answers to the nearest tenth.
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4/29/2015
Question 8
20 ft
The radius of the
larger base is 13
ft and the
diameter of the
smaller base is
12 ft. Find the
total volume.
Leave answers in
terms of π.
Vol of large = Bh
=(π132)(20)
=(169π)(20)
=3380π
Vol of small = Bh
20 ft
=(π62)(20)
=(36π)(20)
=720π
Total Volume= Large - Small
= 3380π - 720π
= 2660π
ft3
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4/29/2015
Question 9
Find the volume of a right cone
that has a height of 10 cm and
a radius of 8 cm. Use π = 3.14.
V = Bh/3
B = π82 = 64(3.14) = 200.96
H = 10
V = (200.96*10)/3
V = 669.9 cm3
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4/29/2015
Question 10
Radius AB is 12 in long.
Find the surface area
and volume of the
sphere. Leave answers
in terms of π.
SA = 4π122 = 576π
in3
V = (4/3)π123 = 2304π
in3
Radius AB is 12 in
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4/29/2015
Question 11
The volume of the
play-doh pyramid is
268 cm3. Find the
diameter of the
sphere that can be
created by the playdoh pyramid.
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4/29/2015
Question 12
A cone shaped hole
is drilled into a cube
that has side
lengths of 20 cm.
Find the total
remaining volume.
Total Volume = Vol of cube – Vol of cone
V of cube = 203 = 8000
V of cone = (1/3)(π102)(20)
= (2000π)/3 = 2094.395
Total Vol. = 8000 – 2094.395
= 5905.605 cm3
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4/29/2015
Question 13
Find the volume of the cylinder.
Leave answers in terms of π.
Find the volume of the cylinder.
Leave answers in terms of π.
V = BH
B = πr2 = π42 = 16π
H = 7.5
V = 16π7.5
V = 120π in3
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4/29/2015
Question 14
The radius of the tall cylinder is 4 and the volume of
the tall cylinder is 192π. If the radius is increased by 4
to create a shorter cylinder, how much should the
height be decreased in order to keep the volume of the
2 cylinders equal.
4
Difference in height
= 12 – 3
Taller Cylinder
Shorter Cylinder
=9
192π = 64πh
192π = 16πh
h= 12
h= 3
4
8
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4/29/2015
Question 15
How much extra space will you
need to fill the inside of a box with
dimensions 44cm x 44cm x 44cm
after placing a bowling ball inside
with a radius of 21.8 cm?
How much extra space will you need to fill the inside of a box
with dimensions 44cm x 44cm x 44cm after placing a bowling
ball inside with a radius of 21.8 cm?
Vol of sphere = (4/3)π(21.8)3
V sphere = 43374.8 cm3
Vol of cube = 443
V cube = 85184
extra space = 85184-43374.8
extra space = 41809.2 cm3
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4/29/2015
Question 16
A satellite is made of a cylinder and two
hemispheres. The hemispheres have
the same radius as the cylinder and
each fit snugly on either end of the
cylinder. If the diameter of the cylinder
is 12m and its length is 17m, find the
volume of the satellite. Leave your
answers in terms of π.
A satellite is made of a cylinder and two hemispheres. The
hemispheres have the same radius as the cylinder and each
fit snugly on either end of the cylinder. If the diameter of the
cylinder is 12m and its length is 17m, find the volume of the
satellite. Leave your answers in terms of π.
Total Volume = sphere + cylinder
radius is 6m for both
Vol of cyl = (π62)(17) = 612π
Vol of sphere = (4π63)/3 = 288π
Total Volume = 288π + 612π = 900π
m3
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