Question
What is the volume of this cylinder? Round to the nearest hundredth.
Radius 2 hight 5
Radius 2 hight 5
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 and \( h \) is the height of the cylinder.
In your case, the radius \( r = 2 \) and the height \( h = 5 \). We can substitute these values into the formula:
\[
V = \pi (2)^2 (5)
\]
Calculating \( (2)^2 \):
\[
(2)^2 = 4
\]
Now substituting back into the volume formula:
\[
V = \pi (4)(5) = 20\pi
\]
Now let's calculate \( V \approx 20 \times 3.14159 \):
\[
V \approx 62.8318
\]
Rounding this to the nearest hundredth, we get:
\[
V \approx 62.83
\]
Thus, the volume of the cylinder is approximately **62.83 cubic units**.
\[
V = \pi r^2 h
\]
where \( r \) is the radius and \( h \) is the height of the cylinder.
In your case, the radius \( r = 2 \) and the height \( h = 5 \). We can substitute these values into the formula:
\[
V = \pi (2)^2 (5)
\]
Calculating \( (2)^2 \):
\[
(2)^2 = 4
\]
Now substituting back into the volume formula:
\[
V = \pi (4)(5) = 20\pi
\]
Now let's calculate \( V \approx 20 \times 3.14159 \):
\[
V \approx 62.8318
\]
Rounding this to the nearest hundredth, we get:
\[
V \approx 62.83
\]
Thus, the volume of the cylinder is approximately **62.83 cubic units**.