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Common Core Standard 8.G.C.9 Questions

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

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Grade 8 Volume CCSS: 8.G.C.9
What is the approximate volume of a cone with a height of 8 cm and a base radius of 3 cm? (Use [math]pi[/math] = 3.14)
  1. 75.36 cubic centimeters
  2. 72 cubic centimeters
  3. 71 cubic centimeters
  4. 70 cubic centimeters
Grade 8 Volume CCSS: 8.G.C.9
Find the volume of a sphere with a radius of 20 mm. Use 3.14 for pi.
  1. 251.2 cubic millimeters
  2. 125.6 cubic millimeters
  3. 100,480 cubic millimeters
  4. 33,493.33 cubic millimeters
Grade 8 Volume CCSS: 8.G.C.9
What is the volume of a right cylinder with a radius of 10 m and a height of 11 m? (round pi to 3.14)
  1. 34.5 cubic meters
  2. 31.4 cubic meters
  3. 345 cubic meters
  4. 3,454 cubic meters
Grade 8 Volume CCSS: 8.G.C.9
Find the volume of a cylinder with a radius of 6 cm and a height of 21 cm. Use [math]22//7[/math] for pi.
  1. 396 cubic centimeters
  2. 792 cubic centimeters
  3. 2,772 cubic centimeters
  4. 2,376 cubic centimeters
Grade 8 Volume CCSS: 8.G.C.9
What is the volume of a cylinder with a radius of 6 cm and a height of 10 cm? Use pi = 3.14.
  1. 1130.4 [math]cm^3[/math]
  2. 1130 [math]cm^3[/math]
  3. 360.8 [math]cm^3[/math]
  4. 600 [math]cm^3[/math]
Grade 8 Volume CCSS: 8.G.C.9
Pi [math](pi)[/math] is used when calculating which of the following?
  1. area of a circle
  2. volume of a sphere
  3. volume of a cylinder
  4. volume of a cone
  5. all of the above
Grade 8 Volume CCSS: 8.G.C.9
What is the volume of a cone with a radius of 3 feet and a height of 8 feet? (round to nearest tenth if needed)
  1. 72.7 [math]ft^3[/math]
  2. 75.4 [math]ft^3[/math]
  3. 226 [math]ft^3[/math]
  4. 84.8 [math]ft^3[/math]
Grade 8 Volume CCSS: 8.G.C.9
What is the approximate volume of a cone with a height of 6 cm and a base radius of 2 cm? (Use [math]pi[/math] = 3.14).
  1. 25 cubic centimeters
  2. 23 cubic centimeters
  3. 75 cubic centimeters
  4. 38 cubic centimeters
Grade 8 Volume CCSS: 8.G.C.9
A spherical water tower has a diameter of 32 feet. How much water can it hold?
Sphere
  1. 51,471 [math]ft^3[/math]
  2. 17,157 [math]ft^3[/math]
  3. 12,868 [math]ft^3[/math]
  4. 17,158 [math]ft^3[/math]
Grade 8 Volume CCSS: 8.G.C.9
What is the approximate volume of a cylinder with a radius of 5 in and a height of 4 in?
Cylinder
  1. 63 inches cubed
  2. 105 inches cubed
  3. 251 inches cubed
  4. 314 inches cubed
Grade 8 Volume CCSS: 8.G.C.9
What is the approximate volume of a cone with a radius of 4 cm and a height of 7 cm?
Cone
  1. 29 cm cubed
  2. 117 cm cubed
  3. 268 cm cubed
  4. 352 cm cubed
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