Volume of Cones (Grade 8)

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Volume of Cones

1. 
What is the formula for the volume of a cone?
  1. [math]V = l xx w xx h[/math]
  2. [math]V = 1/3pir^2h[/math]
  3. [math]V=pir^2h[/math]
  4. [math]V=4/3pir^3[/math]
 
2. 
A conical sand pile has a diameter of 123 feet and a height of 61 feet. How much sand is in the pile?
Cone
  1. 241,606 [math]ft^3[/math]
  2. 28,942 [math]ft^3[/math]
  3. 2,899,278 [math]ft^3[/math]
  4. 241,607 [math]ft^3[/math]
3. 
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]
 
4. 
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
5. 
Find the volume of the right cone with a diameter of 20 and height of 10.




 
6. 
Find the volume of the right cone with a diameter of 42 and height of 3.




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