Questions: How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm ? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)

How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm ? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)
Transcript text: How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm ? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)
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Solution

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Solution Steps

Step 1: Identify the formula for the volume of a sphere

The volume \( V \) of a sphere is given by the formula: \[ V = \frac{4}{3} \pi r^3 \] where \( r \) is the radius of the sphere.

Step 2: Substitute the given values into the formula

Given:

  • Radius \( r = 3 \, \text{cm} \)
  • Approximation for \( \pi = 3.14 \)

Substitute these values into the formula: \[ V = \frac{4}{3} \times 3.14 \times (3)^3 \]

Step 3: Calculate the volume

First, calculate \( (3)^3 \): \[ (3)^3 = 27 \]

Now, substitute this back into the equation: \[ V = \frac{4}{3} \times 3.14 \times 27 \]

Calculate the multiplication: \[ V = \frac{4}{3} \times 84.78 \]

\[ V = 113.04 \, \text{cm}^3 \]

Step 4: Round the answer to the nearest whole number

The volume \( 113.04 \, \text{cm}^3 \) rounded to the nearest whole number is \( 113 \, \text{cm}^3 \).

Final Answer

\[ \boxed{113 \, \text{cm}^3} \]

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