Problems Involving Volume Worksheets With Answer Key - Part 3 Module 9 Page 9
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11PRACTICE EXERCISES
1. A spherical container with a radius of 4 feet is filled with a gas that costs $12 per
cubic yard. What is the total value of the gas in the container?
A. $3216.99
B. $119.15
C. $1072.33
D. $357.45
2. Euclid’s beer mug is shaped basically like a cylinder that is 8 inches tall with a radius
of 3 inches. Aristotle’s beer glass is shaped basically like a cone that is 18 inches tall
with a diameter of 4 inches. Which vessel holds the most beer?
A. Euclid’s
B. Aristotle’s
C. they have the same capacity
3. Suppose that a rectangular aquarium that is 12 inches long, 8 inches wide and 8
inches high provides enough room to safely house 6 guppies. Assuming that the number
of guppies that can be safely housed depends upon the size of the aquarium, how many
guppies can be safely housed in an aquarium that is 24 inches long, 16 inches wide and
16 inches high?
A. 8
B. 24
C. 32
D. 48
4. Plato stores his Pokeman cards in a shoe box measuring 8 inches by 14 inches by 6
inches. Socrates stores his Magic cards in a cake box measuring 1 foot by 1 foot by 5
inches. Whose container has the greater capacity?
A. Plato’s
B. Socrates’
C. they have the same capacity
5. A marble with a radius of 1 cm. has a mass of 10 grams. What would be the mass of a
similar marble whose radius is 2 cm?
A. 5 grams
B. 80 grams
C. 20 grams
D. 40 grams
6. A cone-shaped container with a height of 6 inches and radius of 2 inches is filled with
a substance that is worth $5 per cubic foot. Find the total value of the substance in the
container.
A. $125.66
B. $376.99
C. $0.07
D. $0.22
7. People living in Florida sometimes find that the water in their swimming pools
becomes uncomfortably warm during the summer months. This situation can be rectified
by adding ice cubes to the pool. The following authentic formula can be used to
determine the approximate number (N) of 5-pound bags of ice required to reduce the
temperature of a pool by D degrees Fahrenheit if the volume of the pool is V cubic feet:
N = 0.06125DV. Gomer’s pool is roughly rectangular in shape, with a length of 50 feet,
width of 20 feet and average depth of 5 feet. How many bags of ice will be required to
reduce the temperature of the pool by 10°?
A. 306
B. 3063
C. 9
D. 92
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