Question
A water bottle had a height of 16 inches and a radius of 4 inches, why is the volume of the water bottle in cubic inches 803.84 and NOT 804.24 When using 3.14 for pi
Answers
GPT 3.5
To find the volume of a cylinder, we use the formula V = πr²h, where V is the volume, π is pi, r is the radius, and h is the height.
Plugging in the given values, we get:
V = 3.14 * (4²) * 16
V = 3.14 * 16 * 16
V = 3.14 * 256
V ≈ 803.84
As we are using an approximation for pi (3.14), the calculated volume is an approximation as well. Considering the level of precision used for pi, it is more appropriate to round the volume to two decimal places, which gives us 803.84. Therefore, the volume of the water bottle is 803.84 cubic inches, not 804.24.
Plugging in the given values, we get:
V = 3.14 * (4²) * 16
V = 3.14 * 16 * 16
V = 3.14 * 256
V ≈ 803.84
As we are using an approximation for pi (3.14), the calculated volume is an approximation as well. Considering the level of precision used for pi, it is more appropriate to round the volume to two decimal places, which gives us 803.84. Therefore, the volume of the water bottle is 803.84 cubic inches, not 804.24.