Question

Linear Expressions, Equations & Inequalities Unit Test
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Question
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)

Answer 1

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 \( r \) is the radius of the sphere.

Given that the radius \( r \) is 3 cm and using \( \pi \approx 3.14 \):

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

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

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

4. Now calculate \( V \):
\[
V \approx 4.18667 \times 27 \approx 113.0301
\]

5. Rounding to the nearest whole number gives:
\[
V \approx 113
\]

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