Question
A cylindrical water bottle has a diameter of 2 in and a height of 8 in. What is the volume of the water bottle?
Use π = 3.14 and round your final answer to the nearest hundredth.
Use π = 3.14 and round your final answer to the nearest hundredth.
Answers
GPT 3.5
First, we need to calculate the radius of the cylindrical water bottle. This can be done by dividing the diameter by 2:
Radius = 2 in / 2 = 1 in
Now, we can calculate the volume of the cylindrical water bottle using the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Volume = 3.14 * (1 in)^2 * 8 in
Volume = 3.14 * 1 in^2 * 8 in
Volume = 3.14 * 1 * 8 in^3
Volume = 25.12 in^3
Therefore, the volume of the water bottle is approximately 25.12 cubic inches.
Radius = 2 in / 2 = 1 in
Now, we can calculate the volume of the cylindrical water bottle using the formula for the volume of a cylinder:
Volume = π * radius^2 * height
Volume = 3.14 * (1 in)^2 * 8 in
Volume = 3.14 * 1 in^2 * 8 in
Volume = 3.14 * 1 * 8 in^3
Volume = 25.12 in^3
Therefore, the volume of the water bottle is approximately 25.12 cubic inches.