Volume Worksheet - Regents Exam Questions Page 2

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Regents Exam Questions A.G.2: Volume 1
Name: ________________________
6 A cylinder has a circular base with a radius of 3
9 A thermos in the shape of a cylinder is filled to 1
units and a height of 7 units. What is the volume of
inch from the top of the cylinder with coffee. The
the cylinder in cubic units?
height of the cylinder is 12 inches and its radius is
1)
π
2.5 inches. State, to the nearest hundredth of a
2
cubic inch, the volume of coffee in the thermos.
2)
42
π
3)
π
63
4)
π
147
10 Mike buys his ice cream packed in a rectangular
prism-shaped carton, while Carol buys hers in a
7 A cylinder has a diameter of 10 inches and a height
cylindrical-shaped carton. The dimensions of the
of 2.3 inches. What is the volume of this cylinder,
prism are 5 inches by 3.5 inches by 7 inches. The
to the nearest tenth of a cubic inch?
cylinder has a diameter of 5 inches and a height of
1)
72.3
7 inches. Which container holds more ice cream?
2)
83.1
Justify your answer. Determine, to the nearest
3)
180.6
tenth of a cubic inch, how much more ice cream the
4)
722.6
larger container holds.
8 Oatmeal is packaged in a cylindrical container, as
11 The volume of a cylindrical can in 32 π cubic
shown in the diagram below.
inches. If the height of the can is 2 inches, what is
its radius, in inches?
1)
8
2)
2
3)
16
4)
4
12 A soup can is in the shape of a cylinder. The can
3
has a volume of 342 cm
and a diameter of 6 cm.
Express the height of the can in terms of π.
Determine the maximum number of soup cans that
The diameter of the container is 13 centimeters and
can be stacked on their base between two shelves if
its height is 24 centimeters. Determine, in terms of
the distance between the shelves is exactly 36 cm.
, the volume of the cylinder, in cubic centimeters.
Explain your answer.
2

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