Question
Calculate the approximate volume of a cylinder with a radius of 7 m and a height of 15 m. Use 3.14 for π
.(1 point)
_ m^3
.(1 point)
_ m^3
Answers
GPT-4o mini
To calculate the volume \( V \) of a cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 7 \) m,
- Height \( h = 15 \) m,
- \( \pi \approx 3.14 \).
Now substitute the values into the formula:
\[
V = 3.14 \times (7)^2 \times 15
\]
Calculating \( (7)^2 \):
\[
(7)^2 = 49
\]
Now substitute back into the volume equation:
\[
V = 3.14 \times 49 \times 15
\]
Calculating \( 3.14 \times 49 \):
\[
3.14 \times 49 = 153.86
\]
Now multiply by 15:
\[
V = 153.86 \times 15
\]
Calculating that gives:
\[
V = 2307.9
\]
Thus, the approximate volume of the cylinder is
\[
\boxed{2307.9} \, m^3.
\]
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 7 \) m,
- Height \( h = 15 \) m,
- \( \pi \approx 3.14 \).
Now substitute the values into the formula:
\[
V = 3.14 \times (7)^2 \times 15
\]
Calculating \( (7)^2 \):
\[
(7)^2 = 49
\]
Now substitute back into the volume equation:
\[
V = 3.14 \times 49 \times 15
\]
Calculating \( 3.14 \times 49 \):
\[
3.14 \times 49 = 153.86
\]
Now multiply by 15:
\[
V = 153.86 \times 15
\]
Calculating that gives:
\[
V = 2307.9
\]
Thus, the approximate volume of the cylinder is
\[
\boxed{2307.9} \, m^3.
\]