Additional Practice:
Find the volume of each solid. Show all work.
1.
2.
Volume = ____________________
Volume = _____________________
Find the volume to the nearest tenth.
Volume ≈ ____________________
Volume ≈ _____________________
3. A scented candle is in the shape of a cylinder, with a radius of 4cm and a height of 12cm.
a) Find the volume (leave in terms of π).
b) Double the radius, find the new volume (leave in terms of π).
c) How do the two volumes compare?
1
4.
A cylindrical cake takes up 32π cubic inches. The diameter of the cake is 8 inches, what
is the height of the cake?
5.
The human eye contains “rods”, primarily responsible for night vision, which have an
approximate diameter and length of 2.0  10 7 meters and 4.0  10 5 meters respectively.
What is the approximate volume of the solid?
6.
Nate uses a cube shaped bead with side lengths measuring 6mm. Each bead has a circular
hole in the middle. The diameter of the circular hole is 3mm. Find the volume of the
bead.
Volume = ____________________
Find the volume to the nearest tenth.
Volume ≈ ____________________
2
Find the volume of each prism. Show all work.
1.
2.
Find the volume of each cylinder.
Show all work.
3.
4.
Volume = ____________________
Volume = _____________________
Find the volume to the nearest tenth.
Volume ≈ ____________________
Volume ≈ _____________________
3
5. A soda can has a diameter of 3in and a height of 5in.
a) Find the volume in terms (leave in terms of π).
b) Double the radius, find the new volume (leave in terms of π).
c) How do the two volumes compare?
6.
A drink coaster in the shape of a cylinder has a volume of approximately
95.43 cm3 and a radius of 4.5cm. Approximately how many coasters would you need to
reach a height of 7.5cm?
4
7.
The volume of a cylinder is about 1632 in3. The height of the cylinder is 24in. What is the
area of the base?
8.
Tanya uses a cube shaped bead with side lengths measuring 12mm. Each bead has a
circular hole in the middle. The diameter of the circular hole is 2mm. Find the volume of
the bead. Hint: draw a picture.
5
Additional Practice:
Show all work.
2.
Bob is building a storage shed in a
conical shape. The base of the shed
is 4 meters in diameter and the
height of the shed is 3.6 meters.
What is the volume?
1.
Find the volume.
3.
A machine uses a funnel in the shape of a cone to fill soda cans on an assembly line. The
funnel has a height 10cm and a diameter of 8cm. How many times would the machine
need to fill the cone to then fill a can of the same dimensions? (Show work to prove the
answer.)
4.
Find the radius, to the nearest unit, of a cone with an approximate volume of
210  ft3 and a height of 21ft.
6
Volume of 3-D Figures - Cones
Date:___________________
Find the volume of each solid.
Show all work.
1.
Find the volume.
Volume = ____________________
Find the volume to the nearest tenth.
Volume ≈ ____________________
2. A snow cone has a diameter of 3in and a height of 5in.
a) Find the volume in terms of pi.
b) Triple the height; find the new volume (leave in terms of π).
c) How do the two volumes compare?
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3.
A funnel can hold 159π cm3 of fluid. Its height (without the stem) is 12 cm. What is the
diameter of the cone part of the funnel to the nearest tenth?
4.
April is filling six identical cones for her piñata. Each cone has a radius of 1.5 inches and
height of 9 inches. What is the total volume of the cones?
5.
The volume of cone with a 30mm radius is 9420 cubic millimeters. What is the height of
the cone to the nearest millimeter?
6.
Find the volume in terms of pi.
Volume = _____________________
Find the volume to the nearest tenth.
Volume ≈ ____________________
8
Volume of 3-D Figures - Spheres
Show all work.
1.
Find the volume of the sphere with a diameter of 15 inches. Leave in terms of pi.
2.
Find the volume of a hemisphere with a radius of 6.8 feet. Round to the nearest tenth.
3.
Three tennis balls are packaged in a box. The box is 12.1cm long, 3.5cm wide and 3.5 cm
tall. Each ball is 3.3cm in diameter. What is the volume of the empty space in the box?
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4.
A cylindrical can contains an unknown number of golf balls. The can has a height of 10in
and a volume of 15.625π in3. How many golf balls fill the can if they are uniform in size
to the container?
5.
Here are the dimensions of a pill. Find the volume to the nearest tenth.
6.
A snow globe in the shape of a hemisphere has a volume of 18 in3. Find the diameter.
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