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Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

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Page 1: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50
Page 2: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Volume of Prisms

Volume of Cylinders

Volume of Cones

Volume of Spheres Potpourri

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Page 3: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 1 - 10

• Find the volume of a rectangular prism with a length of 3 feet, a width of 4 feet, and a height of 5 feet.

Page 4: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 1 – 10

• 60 feet2

Page 5: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 1 - 20

• Identify the volume of the rectangular prism.

Page 6: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 1 – 20

• 338 m3

Page 7: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 1 - 30

• Classify the three-dimensional figure.

Page 8: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 1 – 30

• Triangular prism

Page 9: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 1 - 40

• If you double the height of a rectangular prism, will the volume double? Explain.

Page 10: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 1 – 40

• Yes. When you multiply by a height that is doubled, it’s like you’re multiplying the original volume by 2.

Page 11: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 1 - 50

• Find the volume of the triangular prism.

Page 12: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 1 – 50

• 226.9 in3

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Question 2 - 10

• Name 2 characteristics of a cylinder.

Page 14: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 2 – 10

• 2 bases• Bases are circles• Curved side

Page 15: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 2 - 20

• Find the volume of the cylinder.

Page 16: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 2 – 20

• 754.0 in.3

Page 17: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 2 - 30

• Find the volume of the cylinder.

Page 18: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 2 – 30

• 1583 in3

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Question 2 - 40

• A cylinder has a volume of 200 cubic meters. The radius is 7 meters. What is the height?

Page 20: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 2 – 40

• 4.1 meters

Page 21: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 2 - 50

• A can of green beans has a radius of 2 inches and a height of 5 inches. What is the volume of the can?

Page 22: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 2 – 50

• 62.8 in3

Page 23: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 3 - 10

• How are the formulas for volume of a cylinder and the volume of a cone related?

Page 24: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 3 – 10

• To find the volume of a cone, multiply the volume of a cylinder with the same radius and height by 1/3.

Page 25: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 3 - 20

• Find the volume of the cone.

11 in.

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Answer 3 – 20

• 103.7 in3

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Question 3 - 30

• Find the volume of the cone.

Page 28: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 3 – 30

• 128.3 in3

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Question 3 - 40

• Write the formula you would need to find the volume of a cone with a diameter of 5 and a height of 11.

Page 30: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 3 – 40

Page 31: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 3 - 50

• Find the volume of the figure to the nearest tenth.

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Answer 3 – 50

• 23326.3 ft3

Page 33: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 4 - 10

• Find the volume of a sphere with a radius of 2 feet in terms of pi.

Page 34: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 4 – 10

• 10.7pi ft2

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Question 4 - 20

• Find the volume of a sphere with a diameter of 7 feet.

Page 36: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 4 – 20

• 179.6 feet3

Page 37: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Question 4 - 30

• Find the volume of the sphere in terms of pi.

Page 38: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 4 – 30

• 12885pi m3

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Question 4 - 40

• Find the volume of the sphere. Round your answer to the nearest tenth.

Page 40: Volume of Prisms Volume of Cylinders Volume of Cones Volume of Spheres Potpourri 10 20 30 40 50

Answer 4 – 40

• 26094.1 ft3

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Question 4 - 50

• An ice cream cone has a diameter of 4.5 cm and a height of 10 cm. One spherical scoop of ice cream is put on the cone that has a diameter of 5 cm. If the ice cream were to melt in the cone, how much of it would overflow the cone? Round your answer to the nearest tenth.

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Answer 4 – 50

• 12.4 cm3