Question
Now find a decimal approximation for the volume of this cylinder. You can use 3.14 as an approximation for pi.
6 cm
4 cm
Volume = 144π cm
3
≈
cm
3
6 cm
4 cm
Volume = 144π cm
3
≈
cm
3
Answers
GPT-4o mini
To find the volume of the cylinder using the approximation \(\pi \approx 3.14\), we start with the given volume in terms of \(\pi\):
\[ \text{Volume} = 144\pi \, \text{cm}^3 \]
Now, substituting \( \pi \) with \( 3.14 \):
\[
\text{Volume} \approx 144 \times 3.14
\]
Now, calculating that:
\[
144 \times 3.14 = 452.16 \text{ cm}^3
\]
Therefore, the decimal approximation of the volume of the cylinder is:
\[
\approx 452.16 \, \text{cm}^3
\]
\[ \text{Volume} = 144\pi \, \text{cm}^3 \]
Now, substituting \( \pi \) with \( 3.14 \):
\[
\text{Volume} \approx 144 \times 3.14
\]
Now, calculating that:
\[
144 \times 3.14 = 452.16 \text{ cm}^3
\]
Therefore, the decimal approximation of the volume of the cylinder is:
\[
\approx 452.16 \, \text{cm}^3
\]