Question
what is the volume of a cylinder with a radius of 5 cm and a height of 10 cm, using 3.14 for pi?
Answers
GPT-4o mini
The volume \( V \) of a cylinder can be calculated using the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
In this case, the radius \( r = 5 \) cm and the height \( h = 10 \) cm. Plugging in the values:
\[
V = 3.14 \times (5^2) \times 10
\]
Calculating \( 5^2 \):
\[
5^2 = 25
\]
Now substituting back into the volume formula:
\[
V = 3.14 \times 25 \times 10
\]
Now multiplying:
\[
25 \times 10 = 250
\]
So:
\[
V = 3.14 \times 250 = 785
\]
Therefore, the volume of the cylinder is:
\[
\boxed{785} \text{ cm}^3
\]
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
In this case, the radius \( r = 5 \) cm and the height \( h = 10 \) cm. Plugging in the values:
\[
V = 3.14 \times (5^2) \times 10
\]
Calculating \( 5^2 \):
\[
5^2 = 25
\]
Now substituting back into the volume formula:
\[
V = 3.14 \times 25 \times 10
\]
Now multiplying:
\[
25 \times 10 = 250
\]
So:
\[
V = 3.14 \times 250 = 785
\]
Therefore, the volume of the cylinder is:
\[
\boxed{785} \text{ cm}^3
\]