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)

cm3.

1 answer

To find the volume of a spherical scoop of ice cream, you can use the formula for the volume of a sphere:

\[ V = \frac{4}{3} \pi r^3 \]

where \( V \) is the volume and \( r \) is the radius. Given that the radius \( r \) is 3 cm and using \( \pi \approx 3.14 \), we can calculate the volume as follows:

  1. Calculate \( r^3 \): \[ r^3 = 3^3 = 27 \]

  2. Substitute \( r^3 \) into the volume formula: \[ V = \frac{4}{3} \times 3.14 \times 27 \]

  3. First, calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4}{3} \times 3.14 \approx 4.18667 \]

  4. Now multiply that result by 27: \[ V \approx 4.18667 \times 27 \approx 113.04 \]

Rounding \( 113.04 \) to the nearest whole number, we get:

\[ V \approx 113 \text{ cm}^3 \]

Thus, the volume of the spherical scoop of ice cream is approximately 113 cm³.