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A frustum is formed when a plane parallel to a cone's base cuts off the upper portion as shown. A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5. Which expression represents the volume, in cubic units, of the frustum? One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8) One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8) One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8) One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)

Respuesta :

Answer: C. 1/3π(7.52)(19) – 1/3π(3.52)(8)

Step-by-step explanation:

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akposevictor

The expression that represents the volume of the frustum is:  1/3π(7.5²)(19) - 1/3π(3.5²)(8).

What is the Volume of a Frustum?

Volume of a frustum = Volume of bigger cone - volume of smaller cone = 1/3πR²H - 1/3πr²h

Given the following dimensions:

  • R = 7.5 units
  • H = 11 + 8 = 19 units
  • r = 3.5 units
  • h = 8 units

Applying the volume formula, we have:

Volume of the frustum = 1/3πR²H - 1/3πr²h = 1/3π(7.5²)(19) - 1/3π(3.5²)(8)

Thus, the expression that represents the volume of the frustum is:  1/3π(7.5²)(19) - 1/3π(3.5²)(8).

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