Volume Calculations (Grade 8)

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Volume Calculations

1. 
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
2. 
Compute the height (in meters) of a cylinder with a radius of 2m and volume 138 cubic meters. Round to the nearest meter. (Use [math]pi[/math] = 3.14)
  1. 8 m
  2. 14 m
  3. 11 m
  4. 22 m
3. 
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
4. 
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
5. 
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
6. 
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of [math]320pi[/math] cubic feet. What is the diameter, in feet, of the water tank?
  1. 16
  2. 10
  3. 8
  4. 4
7. 
Thomas fills an ice cream cone to the top edge. The diameter of the ice cream cone is 2 inches and its height is 6 inches. Dan fills a bowl (with a volume of 5 cubic inches) with ice cream. Thomas has how much more ice cream than Dan?
  1. 1.2 cubic inches
  2. 1.28 cubic inches
  3. 1.1 cubic inches
  4. 1 cubic inches
8. 
The average size of a cylindrical trash can is 4 ft high with a diameter of 1.5 ft. What is the volume of a trash can that is one foot taller and has a diameter the same as the average sized can?
  1. 8.84 cubic feet
  2. 8.82 cubic feet
  3. 8.80 cubic feet
  4. 8.86 cubic feet
9. 
Andrew's job is to attach a ladder to a water tank. The water tank is a 20 feet wide cylinder and has a volume of 9,420 cubic feet. If the length of the ladder is equal to the height of the water tank, how long is the ladder?
  1. 30 ft
  2. 9.5 ft
  3. 8.9 ft
  4. 11 ft
10. 
A pencil has a diameter of 0.75 cm and a length of 20 cm. How much wood is in the pencil?
Cylinder 2
  1. 26.5 [math]cm^3[/math]
  2. 8.8 [math]cm^3[/math]
  3. 35.3 [math]cm^3[/math]
  4. 6.3 [math]cm^3[/math]

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