Question

What is the volume of this cylinder? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth r=19 and h=15

Answers

GPT-4o mini
To find the volume \( V \) of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where \( r \) is the radius and \( h \) is the height. Given that \( r = 19 \) and \( h = 15 \) and using \( \pi \approx 3.14 \):

1. Calculate \( r^2 \):

\[
r^2 = 19^2 = 361
\]

2. Substitute \( r^2 \) and \( h \) into the volume formula:

\[
V = 3.14 \times 361 \times 15
\]

3. First, calculate \( 361 \times 15 \):

\[
361 \times 15 = 5415
\]

4. Now multiply by \( 3.14 \):

\[
V = 3.14 \times 5415 \approx 16900.1
\]

Therefore, the volume of the cylinder is approximately **16900.10** when rounded to the nearest hundredth.
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