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Volume of Cones

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Volume of Cones Answer Key

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.
  • To find the volume, we use the formula:
    V = 1/3 Bh
    Remember: B = area of the base
    To find the radius, simply divide the diameter by 2. So we get 10 for our radius.
    So we get 1047.2.
 
6. 
Find the volume of the right cone with a diameter of 42 and height of 3.
  • To find the volume, we use the formula:
    V = 1/3 Bh
    Remember: B = area of the base
    To find the radius, simply divide the diameter by 2. So we get 21 for our radius.
    So we get 1385.44.

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