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Find the volume of a cone with a base diameter of 6yd and a height of 11yd.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.6yd11yd

Question

Find the volume of a cone with a base diameter of 6yd and a height of 11yd.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.6yd11yd

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Solution

To find the volume of a cone, you can use the formula: V = 1/3 * π * r² * h

Where:

  • V is the volume
  • r is the radius of the base
  • h is the height of the cone
  • π is a mathematical constant whose approximate value is 3.14

Given that the diameter of the base is 6 yards, the radius (r) would be half of that, which is 3 yards.

The height (h) is given as 11 yards.

Substituting these values into the formula gives:

V = 1/3 * 3.14 * (3yd)² * 11yd V = 1/3 * 3.14 * 9yd² * 11yd V = 103.72 yd³

So, the volume of the cone is 103.72 cubic yards.

This problem has been solved

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