Additional Practice:
Find the volume of each solid. Show all work.
1.
2.
Volume = ____________________
Volume = _____________________
Find the volume to the nearest tenth.
Volume ≈ ____________________
4.
Volume ≈ _____________________
A cylindrical cake takes up 32π cubic inches. The diameter of the cake is 8 inches, what
is the height of the cake?
Volume ≈ ____________________
1
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 ≈ _____________________
2
5. A soda can has a diameter of 3in and a
height of 5in.
6. A soda can has a diameter of 3in and a
height of 5in.
a) Find the volume in terms (leave in
terms of π).
a) Find the volume in terms (leave in
terms of π).
b) Double the radius, find the new
volume (leave in terms of π).
b) Triple the height, find the new
volume (leave in terms of π).
c) How do the two volumes compare?
c) How do the two volumes compare?
7. 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?
3
8.
The volume of a cylinder is about 1632 in3. The height of the cylinder is 24in. What is the
area of the base?
9.
The volume of a coke can is about 22 in3. The diameter of the can is 4in. What is the
height of the can?
10.
A carpenter uses a cylindrical can to store extra screws after he completes a job. The
volume of the can is 30 in3 and has a radius of 3 inches. What is the height of the
recycled cans when the container is filled halfway to the top?
4
Volume of 3-D Figures - Cones
1a.
Date:___________________
Find the volume in terms of pi.
b.
Triple the radius, find the new volume. Leave in terms of pi.
c.
How do the two volumes compare?
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
radius of the cone part of the funnel to the nearest tenth?
4.
The volume of cone with a 30mm radius is 9420 cubic millimeters. What is the height of
the cone to the nearest millimeter?
5.
Find the radius, to the nearest unit, of a cone with an approximate volume of
210  ft3 and a height of 21ft.
6
6.
Find the volume to the nearest tenth.
7.
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?
8.
Here are the dimensions of a pill. Find the volume to the nearest tenth.
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9.
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.
10.
Find the volume of the figure below.
11.
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.
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6.
A snow globe in the shape of a sphere has a volume of 18 in3. Find the diameter.
7.
A snow globe in the shape of a sphere has a volume of 30 in3. Find the radius.
6.
A snow globe in the shape of a sphere has a volume of 18 in3. Find the diameter.
7.
A snow globe in the shape of a sphere has a volume of 30 in3. Find the radius.
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