# Volume Of Cylinders, Cones, And Spheres Assignment And Quiz

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What is the volume of the sphere in terms of π?
288
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What is the volume of the oblique cone? Round to the nearest tenth.
142.4 cubic units
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The volume of the oblique cylinder is 24 ft3. Which statements are true? Check all that apply.
The height of the cylinder is 3.4 ft. The diameter of the cylinder is about 3 ft. A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.
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The height is ____ units. The radius is ____ units. The volume is ____π cubic units.
6 8 128
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A toy company produces rubber balls that have a radius of 1.7 cm. What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter. _______ cm3 If the price of the rubber needed to produce a ball is \$0.0045/cm3, what is the cost of producing one ball? Round to the nearest cent. \$_______ If the company sells a ball for \$0.50, how much profit will it make on each ball? \$_______
20.58 0.09 0.41
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A can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall. What must the new radius be to meet the client's need? Round to the nearest tenth of a centimeter.
4.9 cm
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In the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be ╓/4 times the volume of the pyramid that it fits inside. Which expression represents the volume of the cone that is ╓/4 times the volume of the pyramid that it fits inside?
╓/4(4r^2h/3)
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The density of water is 1 gram per cubic centimeter. A more dense object will sink, and a less dense object will float. Will a marble with a radius of 1.4 cm and a mass of 9 grams sink or float in water? The marble will ___________ because the density of the marble is about ___________ grams per cubic centimeter.
float 0.78
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A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?
6aπ units3
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During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below. If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain.
Yes, because there is enough water in the cooler for about 81 cups total.
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The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder, in units?
2x
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An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. What is the radius of the cone?
3 units
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The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
32/3╓ cm^3
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A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.
452 cm3
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The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?
2/3╓x^3
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An oblique cylinder has a diameter of 14 units. The volume of the cylinder is 1,176π cubic units. What is x, the height of the cylinder?
24 units
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A cylinder has a radius of 1 inch and height of 1 inch. What is the approximate volume of the cylinder? Round to the nearest hundredth. Use 3.14 for π.