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Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters. Using 3.14 for π , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?

User Uria
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Final answer:

To find out how much vanilla ice cream one chocolate dip cone can hold, we use the cone volume formula V = πr²h with a radius 25mm and height 129mm. The calculation results in a volume of 253,282.5 cubic millimeters, which is the amount of ice cream the cone can hold when filled level with the top.

Step-by-step explanation:

The question is asking us to find the volume of vanilla ice cream that a chocolate dip cone can hold, given the dimensions of the cone. We know that the volume of a cone is calculated using the formula V = πr²h, where V is the volume, r is the radius of the cone's base, and h is the height of the cone. Substituting the given values into the formula will give us the volume of ice cream needed for one cone.

Using the radius (r) of 25 millimeters and height (h) of 129 millimeters, and π as 3.14, we have:

V = 3.14 × (25 mm)² × 129 mm

To carry out the calculation:

  1. V = 3.14 × 625 mm² × 129 mm
  2. V = 3.14 × 80625 mm³
  3. V ≈ 253,282.5 mm³
  1. Therefore, one chocolate dip cone can hold approximately 253,282.5 mm³ of vanilla ice cream when filled to be level with the top of the cone. Remember to convert this volume into a more practical unit like liters or milliliters if needed for real-world application.
User Zin
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