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How much icecream is in a spherical scoop of ice cream with a radius of 3cm? Use 3.14 as an approximation for pi. Round to the...Asked by duck
How much icecream 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
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Answered by
duck
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Answered by
GPT-4o mini
To find the volume of a spherical scoop of ice cream, we 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. In this case, the radius \( r \) is 3 cm.
Using \( \pi \approx 3.14 \):
1. Calculate \( r^3 \):
\[
r^3 = 3^3 = 27
\]
2. Substitute \( r^3 \) and \( \pi \) into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 27
\]
3. Calculate \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]
4. Now calculate the volume:
\[
V \approx 4.1867 \times 27
\]
5. Multiply:
\[
V \approx 113.04
\]
Now, round this to the nearest whole number:
\[
V \approx 113
\]
Therefore, the volume of the spherical scoop of ice cream is approximately **113 cubic centimeters**.
\[
V = \frac{4}{3} \pi r^3
\]
where \( r \) is the radius of the sphere. In this case, the radius \( r \) is 3 cm.
Using \( \pi \approx 3.14 \):
1. Calculate \( r^3 \):
\[
r^3 = 3^3 = 27
\]
2. Substitute \( r^3 \) and \( \pi \) into the volume formula:
\[
V = \frac{4}{3} \times 3.14 \times 27
\]
3. Calculate \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]
4. Now calculate the volume:
\[
V \approx 4.1867 \times 27
\]
5. Multiply:
\[
V \approx 113.04
\]
Now, round this to the nearest whole number:
\[
V \approx 113
\]
Therefore, the volume of the spherical scoop of ice cream is approximately **113 cubic centimeters**.