Question

How+much+ice+cream+is+in+a+spherical+scoop+of+ice+cream+with+a+radius+of+3+cm%3F+Use+3.14+as+an+approximation+for+pi.+Round+your+answer+to+the+nearest+whole+number

Answer 1

To find the volume of a spherical scoop of ice cream with a radius of 3 cm, we can use the formula for the volume of a sphere:

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

Here, \( r \) is the radius of the sphere. Given \( r = 3 \) cm and using \( \pi \approx 3.14 \):

1. Calculate \( r^3 \):
\[
r^3 = 3^3 = 27 \text{ cm}^3
\]

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

3. First, calculate \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

4. Now multiply this by 27:
\[
V \approx 4.1867 \times 27 \approx 113.04 \text{ cm}^3
\]

Finally, round the volume to the nearest whole number:
\[
V \approx 113 \text{ cm}^3
\]

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