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Volume of Cylinders Quick Check
Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. Use 3.14 for pi. (1 point)
O cubic inches
O cubic inches
O 150.88 cubic inches

Ask by Lawson Vega. in the United States
Mar 26,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The volume of the cylinder is cubic inches. None of the given options match this value.

Solución

  1. The volume of a cylinder is given by
  2. The diameter is 8 inches so the radius is
  3. The height is given as inches. Substitute the values into the formula:
  4. Compute the base area:
  5. Multiply to find the volume:
  6. Multiply and :
  7. Therefore, the volume of the cylinder is
None of the provided options ( , , or cubic inches) equal cubic inches.

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Mind Expander

To find the volume of a cylinder, you can use the formula . First, you need to find the radius, which is half of the diameter. In this case, the diameter is 8 inches, so the radius is 4 inches. Now plug in the values: . Calculate to get 16, then multiply: and finally cubic inches. The closest choice to the correct volume is cubic inches.
Always double-check your calculations! A common mistake is to confuse the diameter with the radius, leading to anincorrect volume. Remember, if you’re given a diameter, simply divide it by two to get the radius before plugging it into the volume formula!

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